The only one of mine to engage before birth was DD1.
The other 2 were posterior & sideways & both were natural labours, not induced & no stitches. Both turned during labour.
The back pain is bad, but I did it twice.
Don't let him force you into anything. at 39+6 I was booked in for an induction with DD1 for 40+2. I refused after talking it over with my gp & she came by herself at 41+1. & she was engaged 4/5.
DD2 was 41 & DS was 39+5. Both were posterior/sideways & not engaged.