For tanks, we recommend creating a custom gearing strategy for your character, since we don't have our "adaptive" gearing strategies finished yet for tanks.
The default strategy still works pretty well depending on what talents you are using, though.
We are the only source of tank theorycraft that is using a data-driven approach to figuring out what gear is best, since we are the only ones who created a tank simulator that can give us good data. So, it actually is very possible that what we recommend works despite what everyone else is saying. "Everyone else" is sort of misleading anyway, it's really one or two people who are then echoed and copied everywhere else. We are not just jumping on the bandwagon - we are doing original theorycraft and are not influenced by a need for popular theorycrafters to like us.
Especially for tanks, there are going to be many viable gearing strategies that will achieve your goal: don't die. These other folks have found one way that works, based on their experience. It is easier to just tell everyone to do that. It is complicated to tell people that there are actually many ways you can gear which are viable. At AMR we are not afraid to tackle the entire complexity of gearing in WoW these days and offer many different viable solutions, regardless of popularity.
You can often get more haste suggested if you change "the blender" in the gearing strategy options to be more aggressive and care less about survival.