Letting go of the steering wheel is not a valid test of alignment, ask any tire garage. Slipped belts, dragging brakes, failing bearings, road angle and many other things can impact steering. The OP says he's had an alignment and the brakes are still pulling. I would eliminate alignment.
The dual chambers in master cylinder are for safety and have been in use for more than half a century, maybe longer. If one side is getting more pressure, there's a blockage in the master or in the lines. The flex lines at the caliper have been replaced, I would eliminate them.
The OP has had the following work done at the dealership:
(please correct me if I'm wrong)
Replaced calipers
and rear wheel cylinders?
Replaced the front wheel flex line hoses
(I believe the rear wheel cylinders are steel lines up to the cylinders, not hoses)
Replaced pads and brake shoes (confirmed they are not contaminated?)
Turned the rear drums
Turned the rotors
Replaced all brake fluid and bled the lines of air
Wheel alignment (2 wheel or 4 wheel?)
We can eliminate all these parts unless these
new parts prove to be defective, which is possible but not likely.
Symptoms: (Please correct me if I'm wrong)
The vehicle travels true until the brakes are applied. The harder the brakes are applied the harder it pulls to the left. Most cars use the right front / left rear and left front/right rear connection for brake lines. If the car is pulling to the left when the brakes are applied, it has to be the right front, left rear, or both brakes that is causing this.
The only two original things (other than the steel lines) left are the vacuum booster and the master cylinder. I
think the booster is not specific, it only assists in applying pressure. That leaves the master cylinder. Since the lines were professionally bled, and nothing unusual was noted, that leaves the master. (I'm assuming you replaced the rear wheel cylinders.) Each chamber of the master has its own set of gaskets, one chamber's gaskets may be weaker (or failed).
In for a penny, in for a pound; replace the master cylinder. After that, I don't have a clue. I'd look for Gremlins I guess.