I don't think I agree with that … "elastic" simply means that kinetic
energy is conserved, and rotational KE is
Of course, "elastic" isn't a word like "newton" that has an internationally recognised definition … it's just a customary word … but I'm pretty sure the people who set exams use it to include all KE.
hmm … on the other hand, you were right the last time
so if you have any quotation to back up your claim, let's see it!