Why isn't it the case with the use of the term "present perfect tense" in English then, despite "perfect" being an aspect, not even a tense? How is present perfect closer to a tense, but this one closer to a mood? What's the difference?
Well, "present perfect" would refer to a specific construction that has both tense (vs. past perfect) and aspect (vs. present continuous).
But as per my other comment, if you're just listing all the constructions an English word can take for your students to memorise, you can just call them all tenses and be done with it.
