Does the drive matter?

I need to buy an external blu-ray 4k drive so I can rip my blu-rays and dvds. As long as I get a 4k blu-ray player, does the drive I buy even matter? I'd really prefer to not have to worry about particular models, but I'm doing my homework.

I have quite a few dvd's and a large handful of blu rays. Can I get some advice? Thanks!