No, it wouldn't help. Queue times aren't caused by not enough players queueing. They're caused by imbalance in role representation in the queue.

There could be 100,000 DPS in queue at the same time and most are going to be sitting around twiddling their thumbs for a long time if only 10,000 tanks and 10,000 healers show up.

On the other hand, there could be 60 DPS, 30 tanks and 30 healers in queue and everyone would get placed in a group very quickly because the role representation is correctly balanced.

To improve queue times, there would need to be greater incentive for level cap players to join the queues in the role(s) needed to get the queue moving. With the current design, that incentive stops once the weekly tomestone cap is reached. The AIN bonuses are laughable for a level cap player because there are better ways to earn more gil in less time.