Since I usually sit at the bottom living room part of the CPH gold lounge I am pretty sure they do, having seen many people try to get into the lounge that way and then getting an angry red beep.

The easy workaround for this is of course to give your guest your paper BP and you use your own BP on the phone. Increase your chances by entering separately and timely offset from each other. This only works in the HUBs though as the café lounges actually have a cool-down before you may enter with the same BP again. Of course I wouldn't suggest anybody to actually try this, as we wouldn't want to exploit SAS, but if you do at least commit to it and don't get caught.