Would you connect with a school mum on LinkedIn if you have no other communication in RL no professional link?

[Usernamealreadyexists]

I checked my LinkedIn and saw a request from a school mum. We don’t communicate otherwise and our paths don’t cross on the school run. We have nothing in common at all professionally. She has looked at my profile more than once in the past day. I only use LI for professional reasons. I haven’t linked my account to my email contacts. I feel rude not accepting in case we do bump into each other but I think it’s pointless. Anyone experienced this?

Yes before I was a SAHM. I never engaged with social contacts on LI. That's what Facebook is for.