It is currently impossible to hit JEI elements (buttons, search bar, items etc.) using controllable.

This is an error, yeah. Not sure who it belongs to. It doesn't bother me as I don't use JEI, but I noticed it when I tried it.

Six months later-ish edit: I also now use JEI.

That's true. Ether The developer of JEI or MrCrayFish need to implement support.

You should now be able ot interact with JEI in the latest version of Controllable.

Id like to see JEI/NEI get implemented