If (to get back to the thread topic) we were to view SNW as evidence of an alternate timeline, this is how I would describe it:
TOS happens as is. It’s what we’ve been watching for 60 years. TOS leads to Movie Era and to TNG. TNG leads to DS9 and VOY and concurrent movies.
First Contact leads to first major timeline shift because of what Cochrane and Lily learned, and the Borg debris. Cochrane and Lily don’t make major changes but foreknowledge ripples forward and subtle, cumulative changes lead to ENT. The Borg debris accelerates Borg awareness of Alpha Quadrant and its inhabitants.
ENT leads to DSC/SNW which leads to TOS (where just about everything occurs as before but with the aesthetics of SNW). TOS and SNW are each reasonable predecessors to Movie Era aesthetics (merely need a slight squint). Then on as before to TNG era. Which leads to PIC. S3+ DSC moves far enough forward to not worry about it. SFA follows directly from DSC. No issues.
S31 is set in a timeframe largely unknown, so no real issues there.
As for animation: TAS is immediately after original TOS, LD fits nicely right after TNG, and PRO seems to fit between LD and PIC.
Now the above is NOT how I personally interpret Trek. I just take them at their word (just as I take every time travel story rules as given, since no time travel story survives close scrutiny). But if someone asked me to come up with an alternate timeline interpretation, I’d use the above as the general framework and adjust accordingly where needed.