I'm writing longer mathematical texts (lecture notes) regularly, and I don't know where else to ask this question.
I regularly find myself enunciating (in the typographical sense) every statement I make. This means that I will put any even vaguely mathematical statement, not only theorems, corollaries, definitions, etc., into an enumerated environment in Latex. As of now, I always use Remark for them, and I feel like I'm overusing it.
Question: When do you write mathematical comments in some numbered environment, like Discussion, Observation, Remark, Idea, etc., and when do you write mathematical comments standalone in the running text? What other environments do you use to mark up mathematical comments?
Edit: The reason why I enunciate this often is simple: Later on in the text or in the lecture, I might want to refer to this comment. E.g. in a mathematical comment, we combine all results in an informal discussion on how to compute fibres of maps between prime spectra. This result is somewhat important as it will come up every now and then, but its statement in the lecture was more or less like an argument, making it difficult to encase this as a corollary.