You’re alright - that link is for admitted students, so it wouldn’t apply to you. Yes, if you have your SAT scores sent to one UC campus, the scores will go to all UCs to which you applied.
You’re right - unlike some other UCs, your UCLA portal doesn’t explicitly show the receipt of your test scores. Once the scores are received, they will be added to your application, so you can verify there to make sure the scores have been received.
Check your account with collegeboard to see that the scores have been actually sent. Once that has been done, give it a couple of days (at least) for your UC app to be updated.