It's probably not generally the same people - a lot of people who hated TNG when it was airing likely never really warmed up to it (my dad who despised it when it first released still can't stand it today). They just eventually got drowned out by TNG fans and a new consensus, which might be happening with Enterprise.
I'm just about old enough to have experienced this with videogames, I thought (and still think) Fallout 2 was complete trash when it came out and so did a lot of other people, then when Bethesda got the license Fo2 was suddenly retconned into an all-time classic on par with or better than the original game, which I suppose is in large part due to it getting rapidly canonised and people coming to it for the first time after that point.
The question is whether the Kurtzman stuff cultivated a fanbase in the way that TNG did to the point where, twenty years from now, they'll be classing it as TRUE TREK in contrast to whatever new thing is airing.