To me, that's distinction without a difference. We all encounters character different ways in different media, but by now we should all understand that they're going to keep being portrayed differently over the course of time, and depending on the production.
And even with characters who originated in prose, I suspect most modern audiences first encounter them on screen before delving into the books, but that doesn't mean they have to imprint on the very first actor they ever see play the character.
I mean, I would be lying if I claimed that I first encountered Dracula, Tarzan, Bond, or Sherlock Homes by reading the original books. I first saw Bela Lugosi as Dracula long before I read Bram Stoker's novel in sixth grade. But that doesn't mean that I expect every subsequent Dracula to copy Lugosi. "That's not Dracula!"
Same with Kirk. I grew up on TOS reruns, but I don't expect Kirk to always be like William Shatner anymore than I expect Batman to always mimic Adam West.
No actor owns a role forever. That's how acting works.