Is it appropriate to say, for instance:
- This question asks for advice.
- This question asks about dogs.
- These questions request help.
Or are the acts of asking & requesting actions that only humans can do?
Almost 200,000 written instances of this question asks suggest that Anglophones in general don't share OP's misgivings about the usage. You might as well ask whether questions can "suggest".
I'm not so keen on this question requests (with only 1880 hits, obviously nor are most others). The assonance sounds clumsy to me, but it smacks more of tautology than undue anthropomorphism.
In those formulations, I would say the phrasing is strange. What you could say is that:
That would be a personification, which is a stylistic device best fit for literary fiction, but not altogether wrong even in a formal context - unless you're writing a law, I suppose.
In those precise formulations, in your case, you could reword them as:
The issue with the wording is that the more you go into specifics, the less you're able to "personify" the act of asking. A question can beg to be answered, but the moment you introduce a specific subject to be answered, it reads better if you de-personify the question.
A question can be curious, but it can not have its own interests.