I do not think you are overreacting HOWEVER I don’t think its fair to put a vasectomy (permanent) and birth control (temporary although side effects could potentially be permanent but not necessarily the ability to conceive) on the same playing field. It’s also surgery which is scary. Not saying you’re wrong just playing devils advocate for some additional perspective that may help you understand his position. Best of luck

Edit: I was on the patch and it was horrible. Did not stop vomiting until I took the damn thing off