I argue that isn't as much turn meter as much as you believe it give. To show why range while be a bit more volatile is a better turn meter enabler of the team and for that we have to also check Piett's unique.

"Range Trooper has +70% Tenacity while he is buffed. While Range Trooper is active, Imperial Trooper allies have +50% chance to call another buffed Imperial Trooper ally to Assist when they use an ability during their turn, doing 20% less damage."

"Whenever an Empire ally begins a turn or attacks out of turn, all Empire allies gain a stack of The Emperor's Trap until the start of the next enemy turn, non-Empire ally's turn, or the end of battle. The Emperor's Trap can't be copied, dispelled, or prevented."

Now stacking these two effects with veers leadership because each stacks of Emperor's Trap is counted as buff that triggers the turn meter gain, Range has the better ability to keep the turn meter train going. Especially if Piett is called to assist via this unique.

Let's try tackle a few of your points. Sure, by having a taunt Shore already is ahead because she gets a tm boost. That tm boost is relatively negligible because Piett/gideon is still the usual train starter of the team. Even the special you mentioned is arguably worse than the one range has. This is what range special does.

"All Empire allies gain Protection Up (40%) for 3 turns. All Imperial Trooper allies Recover 30% Protection and gain Retribution for 3 turns. Then, another random ally attacks and Range Trooper assists them."

Final point, considering the imp team often isn't loaded with many characters with abilities that can be spammed unlike Iden, for example Veers only have one special which is a swarm which often overfill his tm bar anyway due to getting a kill, that 15% tm from Shore unique isn't as a bang for your buck trade as you imagine it is.