Yes, the tank should set the pace. But in the best interest of the group, wich means usually "pull big", and into consideration of his own skills.
However, I have a prime example of how impatient DDs and healers destroy my cooldown management and pull pace for no reason:
Ala Mhigo, between the first and second boss. At first there are 2 groups of trash with 2 soldiers and 1 robot monkey. These robot monkeys can hurt a lot. They also have a lot of life, so you can't aoe them down, you have to use single target attacks. I pull these 2 groups one by one, because as I said it makes no sense to aoe them and the main reason is: I don't need my cooldowns then. I want to save my cooldowns to pull the next trash groups after the robot monkeys together. All these dogs and whatever it was on top of the stairs at the barrier.
But nearly everytime some impatient DD or healer is running ahead and is pulling the second robot monkey. I have to grab that one, burn my cooldowns, watch while they single target the monkeys and then have to pull the next trash groups one by one, because my defense is already blown up.
Well, okay, when a healer pulls i refuse to use my cooldowns, so I still can do the big pull afterwards ^^
Of course people can request bigger pulls and how OP describes it the tank really should have tried to pull more, but usually the people should just trust the tank that he knows what he is doing - or what he is not capable of doing. And please stop starting to pull stuff on your own.
I remember one time in Antitower when I was a fresh level 60 tank. Big pulls are nothing you learn while leveling, and I really struggled with mana mangement (DRK with old Darkside), enmity and cooldowns. So I pulled smaller. And the whole party was just ignoring me. They were running ahead, pulled the next group and let me die. I actually laughed because it was a funny situation - but I left the dungeon.