That's just BS. Most fans cared about good characters in good stories. For me continuity was a sign of quality. That the people making Trek actually cared about what they were doing. When people complain about "continuity" the mistake is so blatant a mistake even non-fans notice.
Let's talk about continuity. If it wasn't such a big deal why does JJTrek create an entirely new alternate universe. For some strange reason, this bold filmmaker is afraid of a bunch of online fans.
Certainly, continuity was a huge reason why DS9 worked as well as it did, with all it's complex, interweaving storylines and nods to the past. But by the end of ENT and Nemesis, I think it was starting to feel more like a huge weight on the franchise.
ENT always felt constrained by the history it had to adhere to, and the ongoing drama and politics surrounding the Federation, Klingons, Cardassians, Romulans, Dominion, etc in the 24th century was starting to become pretty tiresome as well. And then there's 5 series and 10 movies of stories that had to be followed....
As far as I'm concerned, JJ's Trek couldn't have come at a better time, and was a huge breath of fresh air.