Yes, in a genetic cancer like Lynch you would take out ovaries.

In a patient with an abnormal biopsy that doesn't want to take progesterone to see if it regresses a hysterectomy is a form of prophylaxis

Endometrial hyperplasia with or without atypia is fairly common especially in obese women.

As far as general prevention? No, we don't just cut out uteruses, and now we're in the weeds, but you didn't talk about hysterectomy with or without oophorectomy because I think it's clear you didn't know the actual difference or you would've specified in your original comment. It's okay to admit you were wrong rather than trying to Google answers that make you technically correct. What's your background in this?

If a patient asked one of the gynecologists at my hospital for a prophylactic hysterectomy 1) they wouldn't likely do it but also wouldn't take out the ovaries unless that had some other risk factors.

Most hysterectomies under the age of 50 are performed without an oophorectomy.

We don't use terms like "partial" or "complete" anymore, those are outdated and not uniform.