The very same ultimatum was made with VOY when Berman, Piller and Taylor felt it was too soon to rush out another series but they gave in because they felt they would be better in overseeing it than a new group of producers.
If you read any of Berman's interviews, he says over & over how he wanted to wait a few years before putting the next Trek series on the air(which became ENT.) He knew the ratings were failing on Trek, he knew the fan base was leaving but Paramount/UPN refused to listen. All they wanted was to turn Trek into a marketing franshese and they couldn't do it without having a show on the air. Why else would they push forward with a movie so soon after the failing so recently with ENT.?