Yeah in 2nd and later pregnancies bubs often has more room which means settling head down and getting engaged can even happen in early labour!

My MIL's 2nd son was transverse for weeks and weeks. They did an external version at 35wks and got him head down and on the way home from the appointment he turned transverse again. MIL cried for a week solid, went into labour and he turned head-down and was born with 2 pushes (nearly 9lbs of him!).

I don't know much about round ligaments, mine hurt an awful lot when i turned over until i was about 32 weeks, then they stopped, i think because bubs weight was more on the bones than the tissues by then, the tissues by that point being as stretched as they got! LOL. She sort of filled the space, so she was touching both sides all the time and me turning over didn't shift her enough to make anything stretch, if that makes sense.

I would reckon that no-pain is less of a worry than pain though.

B