I would say, induce only if baby is in distress or any other conditions. Do note that should you opt for induce and fail to dilate after 3 pills, you will need to E-Csect.
I was induced as baby’s fluid was low (she was overdue), even so, I wasn’t dilating at all. Thankfully i managed to dilate within the first pill. I only learnt about the Ecsect thing after I gave birth lol!
Ultimately it’s up to you. If you only want that specific gynae to give birth for you, then take her advise. Otherwise if all is good and okay with other gynae, then I’d suggest to wait.