A writer's enjoyment of what they do shouldn't blind them to what needs to be put right with a first draft and so on. Indeed the real pleasure for me is to get the story as right as I can possibly make it. I don't think a story is truly finished until I can honestly feel I have got to that point.
I have also enjoyed coming back to a story I'd had to put aside for a while as there didn't seem to be anything else I could do with it (and it wasn't being accepted) to discover, that thanks to having a break from it, I could then see what else I could do to improve the story. It then went on to be accepted! That was a good moment and it confirms the importance of putting work aside for a bit before looking at it again prior to sending it out. To date whenever I've done this I've either spotted errors which for some reason I didn't see before (annoyingly!) or have been able to strengthen a character or the plot, giving the story a much better chance of being accepted.
Enjoying writing, I think, is the thing to help keep you going when all the rejections come in and as long as you accept rejections are all part of helping you to improve what you do, then you will keep going. It isn't just talent that matters. Persistence does too.