I have 5 car seats/booster seats right now, I don't like asking parents to provide unless absolutely necessary.
I understand the mom getting annoyed by bringing the car seat twice a week, it is a pain to be constantly taking it out and putting it in. I try to avoid taking my daughter's out unless absolutely necessary, and even then get my husband to do it because they can be so frustrating.
Luckily, my spare seats I was able to get used from friends/relatives at a cheap price, so it wasn't hard on the wallet to get a bunch of them.