If they make one from the outset, then ideally they'd maintain the rules they made from the outset. Especially if it's the same group of people. But also having to take into account how long said franchise is running for.
TNG started out by loosely following TOS, making references and aping scenes but not flagrantly violating what was set up in the past. Except for arguably the empty void thing in "Where Silence Has Lease" where Data out of his way to emphasize nothing like that void has ever been come across before despite the empty void thing that appeared in "The Immunity Syndrome", only Nagillum was larger and more magical than the giant space amoeba that was also interested in reproduction... Season 3 created a much more taut continuity with itself. Continuity that began to show slack in the TNG movies and pretty much flung out the window on Voyager and Enterprise since they were grasping at the smallest straws to do something different.
But DS9, Voyager, etc, are all 'based on'. And to be fair, most of VOY's Borg episodes range from good to great, though some were pretty inconsistent over size of collective, number of queens, limitations or the inverse of regarding drones, how often that we hear "after one or two shots our phasers are useless" and a dozen shots later they're still pew-pewing away as if the Borg can't adapt to the different frequencies like an economy-sized crutch... sigh... to say nothing of Worf divorcing Troi to go get it on with Dax and then getting upset because she's the one with the longer list of cootie swappers so therefore she's cheating on him except she genuinely wasn't so what the heck were they doing on the cootie-swapping planet of the whole galaxy (Risa) to begin with...
Yeah, continuity does suck. It all boils down to audience expectations, consistency, the lack thereof, and cooties.