When a company introduces A team or exclusive task force, there is only one thing on my mind. Something is terribly wrong with the structure of the organization. If the company doesn't empower the teams who work on projects and need to introduce an additional level just to make things work, then do you think this is motivating for the rest.
Most probably they will even stop trying to solve things, since they are not part of the A team.
This will open a vicious cycle of never ending management and never ending demotivated employees until the cost of running a project will far exceed the budget.
The moral is simple, don't duct tape the problem, but change the organization to accommodate complexity, introduce additional training to the employee and empower them in the first place to do their job right.