Sprint can not use TP

[Nezerius]

Dude idk what WAR you're playing but we only restore 200 with Equilibrium. Invigorate for DRG is 500.

Dude idk what WAR you're playing, but I've never seen them have TP issues in fights where I (as a DRG) would otherwise end up TP starved.

There's more to TP restore than just looking at the number on the tooltip. To put it simply:
A WAR's combo starts with a 70 TP ability, followed by the rest of the combo at 60 TP per ability, fracture at 80 TP. They can restore 400 TP every 120 seconds (2x Equilibrium at 60 second CD).
A DRG's combo starts with a 70 TP ability (both full thrust and chaos thrust combo), but it also has heavy thrust at 70 TP and Phlebotomize at 90 TP. They can restore 500 TP every 120 seconds (the CD on Invigorate).

Every mele class has a gap closer and moving out of an AoE is not hard to do. If you know the fight, you'll know when you need to use a gap closer and save it.

But BLM has a gap closer to a friendly target.

[Llus]

But BLM has a gap closer to a friendly target.

IDK what that has to do with removing sprint TP cost, ranged doesn't need a gap closer to make up for a possible loss to a GCD on avoiding AoEs. They eat the GCD loss, avoid the AoE and go back to DPSing. Mele, eat the GCD loss, move out of AoE, gap closer and get back to DPSing. If you find you're having to sprint to avoid AoEs, then you're probably being greedy and hurting overall raid DPS anyway making your heals play catch-up when they could be either focusing a priority heal or DPSing as well. Same goes for casters that refuse to move out of an AoE because they're about to finish their cast. Eat the GCD loss and move on, stop being greedy. TP management on an extended fight is a completely different issue.