You never give up on someone you truly love, yes or no?

Yes, it's just being desperate. Even if you love someone, that does not mean that they love you and if they repeatedly deny your advances then the logical thing to do is to give up and move on. By being persistent, you'll just annoy them. Love is a good thing, but operating entirely on your emotional desires even when it's a bad idea makes you a weak-willed individual.

If you're not sure if you're in stalker territory, you're probably in stalker territory

I could love you and never stop.

At some point you have to give up if they don't want you. Continuing to pursue them is selfish, weak, and only serves to annoy or scare them.

It's an irrelevant distinction if you present it in the right way.

You never, ever stop. If you can't have them, you can still build a shrine or dolls out of their hair, poop, etc. Any part of their DNA you can get a hold of.