Windows (or at least, recent Windows 11) has that too!
Win+;
brings up the emoji picker (works on Windows 10 as well)
Go to Klipper → Configure Clipboard → Shortcuts
And set shortcut for "Next History Item" and "Previous History Item".
Believe me, it would be much better.
Configure WIN+A and WIN+S for example.
There's also Actions Configuration, where you can implement custom actions based on the clipboard contents in Win+V dialogue.
One of mine: if there's something resembling postal tracking number according to regexp, add "Print label" item which prints its barcode on my Bluetooth thermoprinter.
I'll pay it forward by sharing another shortcut: Meta+. for emoji picker.