.....Nevermind that the majority of programs offering such a feature ("Search"/"Continue Search") pretty much all use the "CTRL+F/F3"-Combination (e.g. pretty much everything from Microsoft, Notepad++ and others)
Actually, some use ctrl-g and shift-ctrl-g, thats the declared way on Mac and a Pluma does it too. Firefox uses both F3 and ctrl-G and I have just made my app do the same, prompted by this conversation !