"You pull, you tank" is a bad mentality

[Granyala]

If a DPS or healer pulls in front of you as a tank

If a DPS or healer has the opportunity to do so, then that means that I, as a tank, failed to do my job properly.

The only exception to this rule would be leveling dungeons with an under-geared healer.
Though if the DPS has any brains at all, they will notice the healer struggling and won't try to speed up the run beyond his capabilities, since that would mean dying and wasting time on a party wipe.

I really don't get where people got this idea that the job of the tank is to be the first one to get aggro of all mobs in a duty

It's a relic from oldschool MMOs where trash actually required crowd control, coordination and care (patrols etc). AoE abilities of tanks also had annoying resource costs or cooldowns and it was actually problematic to maintain it indefinitely (target switching only worked for so long when DPS go full throttle in AoE situations).

Back in the days of eld, a DPS would keel over if a mob gave him a stern look, so it was in the DPS' best interest to not pull and not draw any undue attention.

With tanking as pathetically easy and aggro being guaranteed until death of the mob after one combo, even if the tank goes AFK ... yeah that mindset should be buried already.