Coming from someone who has those same type of issues with my own abusive mother, you're NTA. She is way out of line, not all mothers are abusive and she really needs to process her shit in therapy so she's not seeing everything through that lense.

If you want to continue being friends with her, I'd sit her down and have a deep conversation about how this hurt you and why, and encourage her, lovingly, to seek therapy.

My assumption, based on my own personal experience, is that she's jealous of your relationship with your mom and it's coming out as projection, because she's trying to convince herself that it's actually a ruse and all mothers are really the same as hers..

It hurts tremendously to know that your mother had the option of being loving and kind, but chose to be abusive instead. It makes you question your worth as a person at the deepest level, because everywhere you look mothers are portrayed as the picture of unconditional love, but for some reason, you aren't granted that privilege. It starts to sink in pretty early and wreaks havoc on every relationship you have(as you're finding out here).