Congratulations! You have an important notch on your SL experience gun or lipstick caseā¦ wherever it is that you keep your notches and trophies! That's not sarcastic; I mean it.
I have been in SL since 2006. At one point in time I was the Content Moderator for Fashion Consolidated and used to tp around to different sims/stores to see if they had stolen goods or were simply re-sellers and not original designers (this is NOT a knock against resellers in general - it simply had to do with FashCon policy and our way of keeping advertising volume in the group down). And when I found that I had been banned from a sim I would say "HA! They've noticed I'm watching." And it was a good day.
Many other SL oldbies and middlebies count their banned notches in much the same way.
I understand that you feel hurt from being banned. But, as I think you've figured out, it's not really a big deal. There are many many other sims to go to. It's part of SL.
As the singer said, "Don't worry. Be happy."