I like them. They're a parody of Star Trek more than anything. Lower Decks already does the "humor in Trek but sticking to the ideals behind Trek", this is Just "what if you'd put a normal person in a Trek position".
Aside from the excessive gore, I found the Spock episode actually quite well written for his character. Trying to fit in and understand humor is a Whole Thing with Spock, so I imagine his first take on "awkward humor" would go down something like that. I wouldn't have been surprised if "haha my fiancée left me, isn't that funny" would've appeared in SNW.
I don't think this is really targeted at TAS fans. Having only seen short bits of it, I'm impressed by how well they've replicated the art style, but this is clearly a marketing campaign for their running Trek properties and not at all a hommage to TAS.
Personally, I think TAS aged about as badly as TOS in terms of watchability for new fans. If Paramount would create the expectation of a modern cartoon in their callback material, I think quite a lot of fans would come out of that disappointed.
I hope you and the other TAS fans get the real homage you deserve but I don't think TAS has the popularity for Paramount to invest serious money into it. They tried to set up a Trek cartoon with Prodigy but they've already fucked that up spectacularly, I don't think they'll risk a cartoon again any time soon.