My 2nd was a 90 something centile when born. I'd had growth scans as they thought he was too big at 20th scan. Then he was too small, then too big again. In the end he tracked along the same lines and noone was terribly concerned. Good job as I wouldnt of had him early since my dad died 9 days before my due date and funeral was the day before due date.
Anyway, he was born 40+3, 8lb 14oz and was an absolute doddle of a birth! 5 hours start to finish, no pain relief, in the pool, waters broke started pushing and 4 mins later he was here. Tore slightly but not enough for stitches.
Not an answer to your original question but wanted to make the point that big baby doesn't equal difficult point.
To answer your original question... I think Id wait and see (if possible). The reason being that if they can burst your waters fairly easily then you miss the days and days part of an induction. If they can't get in to break your waters then it could be less fun.
I had my waters broken and drip with my first. Wasn't officially induced and hadn't had a single contraction but they were able to break my waters without any earlier intervention. Contractoons started immediately, drip an hour or two later (not sure why they bothered), baby born 7 hours after they broke my waters.
I am more scared of c sections, probably because I've never had one. But equally I wouldn't be up for pessary after pessary, the rods etc so I'd want to know what 'stage' I was at at the time.
My best friend who has had a c section and vbac (never induced) would choose a c section over induction in a heartbeat. So I guess it is fear of the unknown more than anything.
Good luck, but I would try not to overthink it too much until you are at least 1 if not 2 scans further along the growth chart.