I had the tests that I think you are referring to. I also have also suffered on and off with Vertigo I do have RRMS, but ENT Dept wondered if the vertigo could be caused by an inner ear issue. I also tried the epley procedure to try and help but no effect.
The tests I had at the hospital involved an hearing check, all fine, hot air being put into my ears, to try to replicate the vertigo effect, I think they called it a vestibular kick, that was fine then tracking my eye movements on video using some very attractive googles! There was no problem found with my ears so the issues I experienced were due to MS but this was before I had official Dx.
Wishing you all the best, I know how awful vertigo is.