Just toying with the idea here. I am thinking about proposing in the next year and I never expected I would be in this position.
My sister was just proposed to and dude must have spent like 10 grand on the ring. I think she feels like he spent too much. It looks like the friggin thing weighs her whole hand down.
Also do you think it is misogynist to ask the lady’s dad for permission?
I would say spend however much she would be happy with. My wife made it pretty clear back then that she wont be casually wearing a 1k€ ring, it would stress her out more than she could enjoy it. I got her a nice silver ring with a small synthetic diamond (real diamonds are extremely unethical just btw) for around 100€, she was happy with it and would probably even have been happy with a handshake instead xD. If she likes expensive jewelry and expects it, the money is probably well spent. But its basically your shared money youre spending anyway, so in a way youre “wasting” her money as well if she wouldnt want an expensive one.
Regarding the permission, I would say it is at the very least patriarchal, maybe misogynist. She is not her dads property. On the other hand, if she is very old fashioned and you think she expects it, ask her dad. In the end it comes down to what makes you both happy and how you want to live yoir lives. But dont do it because her dad expexts it from you.