It 100% would, however, if the tank plays correctly, they would be in a superior position if they survive the burst due to the active regen
The active regen is a constant effect, if the enemy team fails to eliminate the tank with their burst abilities, they are in a massively disadvantageous position.
50HPS is equivalent to another support focus healing, that is a lot of additional resources you are pouring into the tanks which will allow them to make space more actively.
I also think they would still feel VERY tanky.
When you have 2 supports focus healing a DPS they can feel very hard to kill. now imagine that but with 3 supports and double the healthpool.