In my experience, no, but I think it's hugely dependent on Mils behaviour and personality type.
What it came down to with my MiL is she managed to get more attention by lying, causing arguments, going NC because she wasn't allowed to have sleepovers with my DC (completely unsafe environment, from vicious dogs, rodent infestation and her being unable to wake up before 4pm as she's a "nightowl". She did little things also when they were tiny that put them purposely in danger, I could write a book.)
I've tried very hard to give my DC a relationship with their grandmother, (mil) but its been near impossible due to her personality and we've had to grey rock her.
DH refuses point blank to deal with her after years of her frankly abusive behaviour.
She was evil to me for years prior to DGC arrived and she then reached out, but because she seeks drama more than genuine relationships she became unbearable. She's met DC about 3 times, eldest is 8 now. They've not missed out, she has.
It's terribly sad when you look at your beautiful children and you know there's a grandmother out there who could be enjoying them, visiting for her dinner, taking them the swings etc, but the reality is they just can't have a relationship with them without fucking their heads up.
(She's sent them letters telling them how evil we are.)
I think people presume when you go NC with MiL and you've got grandchildren you do it with glee, like, "you've made my life hell bitch, take this". But it's not the reality, well mine away, it's exhausting emotionally because we still receive lots of abuse. (Emails mostly but we've had letters.)
I fully invited MiL back into our lives once I was pregnant, presuming a baby would change her behaviour. It actually elevated it to a worse state than previously, so be prepared it can go both ways.
MiL knows nothing about our finances but has threatened to contact the universal credits assuming we get them, she's phoned DH's main office to speak to HR that he's withholding her DGC and asked could his boss talk to him, shes made claims with SS which they knew was malicious immediately because of the tone of the email she sent.
My advice is to weigh up their capabilities of making your life more difficult and don't invite unnecessary drama into it.
If your PiLs are capable of anything that will ruin early days of motherhood whilst you're navigating being a new mum, then simply put don't. If they're going to be a pain in the arse but it'll bring something positive to you, DH and DC, go cautiously and always keep set boundaries.
Good luck and never underestimate the value of peace 💐@Needsomeadvice33 x