When comparing Konsole vs Terminology, the Slant community recommends Konsole for most people. In the question“What are the best terminal emulators for UNIX-like systems?” Konsole is ranked 5th while Terminology is ranked 9th. The most important reason people chose Konsole is:
Konsole can bookmark ssh and telnet sessions, directories, and it can open tabs in a folder for easy access.
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Pros
Pro Directory and SSH bookmarking
Konsole can bookmark ssh and telnet sessions, directories, and it can open tabs in a folder for easy access.
Pro Supports split-view
Konsole supports split-view which splits the window into two (or more) konsole instances. This is very useful for people who work a lot on the terminal and don't want to spend time navigating between different windows or tabs.
Pro True color and Smooth font
Konsole supports true color and smooth font. This made konsole more fanstatic than other terminal emulators.
Pro Embeddable into the desktop
Konsole can be embedded into desktop so it's always easily accessible, but not in the way of other windows.
Pro Export of output in plain text or HTML format
By going to file > save output, you can send all screen output to a text file.
Pro Support in Dolphin file manager
Konsole can be accessed by pressing F4 in Dolphin, which is convenient for when the user needs to open the terminal in a particular spot of the file structure.
Pro Supports font ligature
Most terminals in Linux don't support font ligature, while many modern fonts such as PragmataPro or Fira Code already have decent coverage of font ligature. Support for font ligature makes user experience and font management much easier (i.e. you don't need to keep two copies of the same font just to use in the console)
Pro Helps to identify tabs using custom icons
Users can associate each bookmark or SSH session with a custom icon, thus giving a visual hint to quickly identify a tab when a lot of tabs are open.
Pro Supports advanced color schemes
In particular solarized.
Pro Notification alerts about activity in a terminal
Konsole can monitor activities and notify the user through system notifications when a certain activity happens. This is a very customizable feature too: you can write scripts that can use this feature and notify you for whatever you want.
Pro Exceptionally fast
Konsole is usually very fast. It boots up very quickly and takes less than a second (averages to 0.25-0.59 seconds) to display files of up to 600 MB.
Pro Customize and save profiles
Profiles containing different settings can be created, saved, and loaded. Color schemes, window transparency, scroll bar, key bindings, start-up commands, window border, and menu bar can all be customized according to the user's needs.
Pro Allows CTRL-SHIFT-c/v within WSL Ubuntu as well
Good menu to customize.
Pro Scalable fonts
Font size in Terminology automatically scales according to window size. When you resize the window, so does the text.
Pro Looks smashing
Terminals are often very dull looks wise, not so with terminology.
Pro In-terminal video, picture and thumbnail support
Thumbnails, pictures, and videos can all be rendered in-terminal, based on the directory listing or mouse interactions. For instance, using "ls" on a picture folder will produce a list of thumbnails instead of only the filenames.
Pro Splitable
You can split windows, like in terminator.
Pro Visually customizable
It is very customizable in every aspect of the visual options.

Pro Integrates well with Enlightenment WM
Terminology is part of the Enlightenment WM packages. As such, it integrates really well with Enlightenment and other tools in the package.
Pro Block copy
You can copy text in blocks.
Pro Copyfree licensing
Terminology uses the Simplified BSD License. As it is a copyfree license, it tends to minimize license incompatibilities, legal compliance requirements, and various other complexities that may make it difficult to understand certain licenses.
Cons
Con KDE Library dependencies
While not an issue if using KDE, when trying to use this terminal in other desktop environments or window managers, there will be a large amount of dependencies tied to the app, making for a large install size. For those trying to keep their desktop lean, this may be an issue.
Con Uses a lot of memory
Although it's very fast, konsole has to use a lot of resources in return. It may use up to 30 MB per instance, depending on the number of tabs and the task at hand.
Con No good support for powerline character even with patched fonts
Con Can mess terminal keybinds
Most the of the time, the terminal keybinds are just ignored to obey the kde keybinds. Can be configured though.
Con Lack of DECSCUSR support
Konsole don't allow changing the cursor shape with extended DECSCUSR sequences, using instead the temporary-profile hack. This causes pain when working in (neo)vim inside Konsole.
Con No support for double-width characters
Konsole no supports double width characters. For powerline users, you need to add a space after powerline glyph.
Con Configuration is sometimes complicated and non-obvious
There's a "Settings" menu for configuration, but more options there would make it easier. Downloading themes and extensions from the official repo would be a big plus.
Con No True-Color support
Not able to display a modern full range of colors, yet.
Con Scrollback is completely nroken
Scrolling back the emulator inserts random lines from other places in the scrollback buffer in between the actuall output lines. Thus it is impossible to see a correct copy of the previous output.
Con No scrollbar
The lack of scrollbar in Terminology makes navigation difficult. But you can use keys for it.
Con Too many bells and whistles
Some people feel that Terminology has too many features that are not suited for a terminal, but for a window manager instead. For instance, viewing thumbnails, watching videos and gifs, and other similarly flashy things just feel like eye candy and should not be part of a terminal emulator.
