That's true for some of the labels such as "I want to war" or "I want to be in CWL." That isn't true for other labels, such as the ones that claim being active daily when they simply aren't, claim to be good donators when they are not (I suppose one could argue they are saying "now" they will be lol).
If that were added, they might as well go a step farther and let players filter/narrow who they want invites from as I've requested. That could be just limited to certain clans. It could be limited to clan levels, or CWL league or war wins or whatever. The list of filters should be long but distinguished (props to whomever knows that reference without google).
I agree with you it is a problem. Prince raises a very good point that many may just want to be able to hop back and forth between a small number of clans. I like the idea of a separate button, or even better, the ability to set what clans I want invites from.