I feel it's more group dependent, than any one player in the dungeon.
* I'll pull wall to wall largely despite other players in my party, unless explicitly requested not to. Mostly since I know I *can* do it even if the Healer isn't in great gear/or is comfy with healing, and even if DPS output is generally low. (And also why I generally do Dungeons on WAR, since it just... can survive for lengthy amounts of time while outputting pretty disgusting AoE damage).
* Before, when I was newer to the role and a bit scared of large pulls, I'd do them if someone asked me to in the party. The only way I got comfortable doing so, was when a healer said I could and they got me (they did have me). Kinda offered the same to a FC member months later scared of large pulls, but wanted to feel them through.
* If the entire group wants to go slower, I might inquire for why, but will probably do it.
* And I wait for people to be out of cutscenes prior to pulling bosses/do a ready check on the way (countdowns if requested, but otherwise I kinda just pull the boss post ready-check being done, largely just... most big CD's are already down from the last pull, but when people ask I do 'em 'cuz it doesn't really hurt me any. Dungeons sorta being the only content I tend to not do countdowns in lol).
* When I have a brand new tank, or someone who seems really uncomfortable, I'll probably offer some information here and there if I notice something that can be done better. Usually leads into more explicit advice as they ask me questions, and I kinda just choose to leave the pace to their own preference since they're learning, and I'd rather them learn than pull massive and stress either the healer in the party, or themselves too much.
In all of these case's it's not up to 1 or the other for a pace of a run. It's up to the party as a whole, and if the tank wants to go faster with a party who isn't saying anything, but isn't the best group, then it's on the tank to make up for the loss -- such as making up for DPS being low, or making up for an uncomfortable/inattentive healer. If a tank wants a run to be slower, and no one says anything, then w/e. But if they want to go slow, and the party doesn't, but the tank is uncomfortable, then they should mention as such, but it's also on the party to perform their roles to allow the pace they want to set with a less-confident, or less-geared, tank to succeed going forward.