This is my experience:

Induced at 42 weeks because...42 weeks.
Cervix was 90% thinned but not low or ripe when folley catheter thingy put in night before induction. Baby still not engaged
On morning of induction, cervix thinned, cervix still high but somewhat ripened. Baby not engaged. But still in left/anterior position.
DR says: Very high chance of ceasar (but continues anyway - never occurred to me to say, ok, we'll come back later then!)
Waters broken. 3.5 hours later, synto started. 1.5 hrs after that 8cm. 3 hrs after that 10cm, but baby in distress (and so was mum!) = forceps delivery.

Narrowly avoided caesar.
Mum regrets induction.