I'll play devil's advocate a bit and say that those sorts of players have a point, just not in the way they think they do.
I think we all have an intuitive sense of how we think our job should play. What we think about when we imagine our warrior of light in canon doing all these cool moves and abilities like an action movie or anime. For some people, it's way different than others.
If I were to redesign white mage, it wouldn't center around the Dots being lower duration, it would be by making the core GCDs more varied with less of a focus on the dot. Maybe that's just me as I don't play White Mage, but I would think it could play as a sort of foil for Black Mage, with a similar sort of spend and replenish style rotation (not using MP) where the Dot is just something to break up the rotation and keep you thinking on your toes. (RIP Sharpcast)
But yeah, like I said I don't play White Mage. Maybe that's not what people think of when they want to play the class. Dots and timers seems more like a Scholar or Astrologian thing to me.
The healers are all so barebones in damage that anything would be welcome. that's what I'm thinking first and foremost. If they make Scholar more interesting in a way I don't like, well I just hope that at least one healer becomes something I do like so I can go play that instead. Of course, I'd like for my favorite healer to also be my favorite to play after a rework, but at this point I'll take what I can get. (even if that means I have to retire my running joke about hating White Mage.)