It's not as if Starfleet would have benefited much from giving their best ship type to Sisko - a homebody who was supposed to be guarding DS9 and would become a liability to Federation defenses if tempted to go gallivanting around in a powerful offensive unit...
OTOH, there would have been definite benefits to giving Sisko and his crew a ship maximally similar to what they had before. Less time spent learning the ropes, better match to the already well-established tactics and practices, you name it.
I guess Sisko would have had the pull to get some other type of ship in more peaceful times, what with him being an important element in the political struggle to secure Bajor and its wormhole for the Federation. In war, he was a much smaller player: an honorary fleet commander in certain battles relating to his home turf, but mostly an idler in a quiet little corner of the overall war theater.