My daughter was 3/5 engaged from 28 weeks and I had her at 40+2 they can't really say if it will mean you are going delivery early, everyone is different and bub may not even stay down there. My bub at 38 weeks was 5/5 engaged then at 39 weeks was back to 3/5.

In my experience when bub engages it doesn't at all determin when yu will have bub.
GL with it all