I solve physics problems from a textbook that I enjoy. However, I am not a student and my questions are not "homework". I am a hobbyist. Do I need to tag these as homework questions? (I was directed here because this is a meta-question about the site.)
We don't know if you're a student, and it doesn't really matter to us if you are. Tags are to inform the community about the question. This specific tag tells users that the question is "homework-like".
Some people really like answering homework-like questions. Others really hate it and would prefer to not even see them on the site. If you tag homework-like questions as homework-and-exercises, you make both groups happier and increase your question's visibility to the people who are most likely to answer it.
The point of the homework policy is not to discourage homework questions from students, but to avoid encouraging homework-like questions irrespective of the status of the poster.
Homework-like questions (as opposed to conceptual questions) tend to be very specific in that they tend to have limited use beyond the specificity of the actual question.
Thus, if you feel your question can be worded as conceptual and appeal to the community beyond the specific numbers or setting of the cadre of the example you necessarily need to use, then it’s totally legitimate to ask such questions.