I would say, no one!!
Personally, I'd only use Appimage as last resort in case any other option fail. I don't like snaps or flatpaks.
Those pkgs are slower, weightier and heavier than debs
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@visone Thanks, it is similar to my strategy. Currently I have no Snap, one FlatPak and a couple of AppImages. The FlatPak leads to quite many updates of eg Free Desktop. To me, the AppImage is better than FlatPak, but FlatPak has a great upside now when it is very integrated in Mint Update manager (for us who don't always use the terminal...).
@hehemrin
Nowadays you don't need to use a terminal for installing software, whatever type of pkg you want/use, so the best tip I can give you is try them all, compare them all, and use what's best suit you. The choice has to be yours!!