I don’t know about anyone else, but I’d never have wanted my own mother at the births of mine. Nor would I have wanted to be with dd at the births of hers - though I would have been there if she’d asked me.
With her first I asked not to be told until it was all over - I’d have been a gibbering wreck for hours otherwise.
After the birth, from experience, what a new mother usually wants, is someone to do the mundane stuff, washing and hoovering, any shopping, bringing meals that can be just whacked in the oven, etc.- so she can get on with looking after her baby, and maybe snatch some sleep now and then.
What she doesn’t want, is any unasked for advice. If she does ask, that’s different.,