I can confirm that I am able to capture workers with both the archer and the composite bowman by using move mode. The attack damage prediction popup does show up when you hover the workers, of course, but they still move rather than attack.I tried all the normal ways before trying to hold the M key down. If you press the M key it shows you the route you wish to go and how many turns it will take to get there, but hover over a worker and the range attack menu pops up. I have tried everything. I dont have any issues with the EUI switched off.
I can not say for sure, but maybe my composite bowman can capture a worker? Maybe its just an archer problem?
You don't have any other mods, by any chance? Just saying, even if getting rid of EUI resolves the issue, it might be an incompatibility issue, rather than purely an EUI issue.
I do also have to mention (just in case) that I'm running the version 1.29h rather than most recent 1.29i (version history with download links), so there's a chance of a new bug... But I can't imagine I wouldn't hear someone complaining about such an annoying issue even once for the two years it's been out.