Tank PvP vs DPS

Tanks have 50% damage taken on PvP/WM if I am not wrong.
Considering it, is a warrior protection still a “tank” in PvP with this “debuff” or it will be weaker in mitigation than warrior arms/fury?

Recently, I (war protection) was ganked open world twice by fury warrior “easily”, had similar ilvl and he had similar HP.
For sure he had not 50% damage taken more because of DPS spec, so is this 50% debuff not too much ?
I ask a serious question if someone could help with some mathematicals demonstration or data about Tank spec could be still Tank on PvP.
Thanks

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