I agree with this proposal, and think the tooltips should be changed as OP proposes above. But Chris's comment was good, and I think it needs to be addressed:
just because it's on meta doesn't stop the question being unclear and not useful - so the tooltip needs extending not just replacing.
There certainly are some questions on meta that are simple support questions—why did my upvotes stop giving me rep when I hit 200; why did a moderator delete my answer; etc. However, I think the majority of Meta questions, or at least the majority of the Meta questions that take up the most time are discussions and feature requests. It's these questions for which the new tooltips would make sense, and I think the system should be designed to facilitate these questions as much as possible.
It would be clunky to expand the tooltips to apply to everything: I agree, unless this is a support question, in which case this question is useful and clear. So why not change the tooltips so that they're appropriate most of the time, when it matters most, instead of now, where the tooltips are appropriate only rarely, when it matters least.