...The different 'look' of various Trek/Dr. Who productions are
explained canonically as timeline divergence.

That's my theory.
Please leave Doctor Who out of this, since it's never been said "different looks" have been explained by "timeline divergence".
The Doctor looks different at various times due to regeneration, not changes to his past. The Tardis has been shown not only to have more than one console room, but the "desktop theme" can also be changed, at least in the main one. Nothing about the past being changed there either.
In Trek also, there's never been an official statement about timeline divergence, except as of this movie, and even that statement by Orci is full of holes.
He claimed the changes done by Nero and Spock don't affect the original timeline, but that's hooey. If it were true, Spock wouldn't bother to go back and stop Nero, since nothng Nero does, according to Orci, can affect the existing Trek timeline.
So why should Spock follow him back and stop him?
Orci's statement is a grasping at straws, and he was pulled down by the content of the movie itself. Hoist by his own petard.
Aside from what he's recently said, NOTHING has been said about "explaining differences" in Trek, let alone saying there ARE any differences.
Fans, using the "fixit" method, have come up with all sorts of good-sounding ways to explain seeming contradictions. This has never come from any official source, however (until now).
Your two claims (Trek and Who) are invalid. Sort of like the several times you told people on the TOS board that the entire Eastern portion of the United States would be having TOSR air at a different time "this weekend", simply because YOUR local station changed ITS timeslot for the show.
PLEASE stop doing stuff like this, giving out supposedly "solid" takes on things that are just plain WRONG.
