The below comes from completely personal opinion and my experience of working as a rock climbing instructor for a little over 3 years, and my desire to make this stack exchange as awesome as possible.
I think part of the bigger issue with Bouldering
vs Climbing
vs Rock-Climbing
is not actually Bouldering
but the Rock-Climbing
tag. Everything tagged Bouldering
can be tagged Rock-Climbing
as well. Bouldering
is one of 34 major subsets of climbing, the other 23 being Ice, Sport and Traditional (trad). All 34 require different sets of gear and to some extent different techniques. Also, there are somewhat few outdoor areas that are setup for sport and trad, and while you could boulder at those areas, there are usually better places to go if all you want to do is boulder.
I think the bigger issue is not Bouldering
tag but Climbing
tag and Rock-Climbing
tags. Should they all be rolled into one or should they be separated and specifically defined somehow?
Also, about the finger pain after climbing I don't think directly relates to bouldering. The content of the question could pertain to any form of technical rock-climbing, and other than the tag doesn't specifically mention anything that is unique to bouldering.
I'd go one of 2 ways. Either have one all encompassing tag Rock-Climbing
and no subset tags, or all subset tags and only allow them to be used when the question specifically pertains to that subject. In this second form, a question about a carabiner is not specific to any one subset (being used in bothIce, Sport and tradTrad) so it could only be tagged Rock-Climbing but a question about nuts could be tagged trad.