I wouldn't quite say it makes sense that because the experiment worked, the excelsior class therefor went on to be the big new federation design. It's hardly unheard of for a design to be rolled out for some specialized role, fail, but go to widespread use anyway because it's good enough.
If we're talking about STO time frame slipstream, I'm not sure if we know that. The only information we have outside of gameplay is from one of the
lore blogs, which notes the Enterprise is one of the few ships fast enough to go from Earth to Bajor in time to assist in the battle there, but there's no firm time given for how long it actually took to get there, aside from the point when he got the call to when the ship left spacedock was 15 minutes (and so the in-game time for the battle probably can't be trusted, since the fight would be over by the time the Enterprise actually arrived).