Leave denied and 3 a day pt?

I don't think you are going to find a lot of sympathy here. At least, I hope not. One doesn't find themselves PT deficient as a complete surprise. Both the command and the individual have responsibility. Unit PT by itself was never intended to be all that was required to maintain fitness. Individual responsibility and accountability is expected and required.

I see that you are in a Cavalry Scout unit. I'm personally shocked that ANYONE serving in a combat arms MOS, cannot pass the PFT with a first class score, let alone fail. I cannot understand how anyone who fails is tolerated by the command or his/her peers. This is about fitness for battle, and whether the soldier will be there, ready to fight, for as long as necessary. Any PT failure is a leadership failure.

On leave there is no unit PT, and the PT deficient clearly have not practiced the necessary dietary habits and/or individual discipline to maintain an adequate level of fitness while at the command, how will going home on leave fix a potential career ending deficiency?

Either as a unit or an individual, I recommend taking a diagnostic PFT and MOS specific fitness test monthly as a regular part of an individual's PT program. Frankly I'm shocked the command isn't scheduling it. Clearly, the existing unit PT program and individual personal fitness programs are are inadequate if individual's cannot maintain their level of fitness. Something must change. Thank your PSG for being concerned about individual fitness to survive the battlefield and maintain the standards necessary to advance their careers. He/She doesn't want you to have to go into combat with someone that cannot carry their weight, on your left and right.

Instead or worrying about individual rights to leave (there are none when they interfere with unit or individual readiness), I suggest you show leadership, encourage those who are PT deficient to put down their knife, fork, and spoon; close the bag of chips; put down the mouse and keyboard; and fix their deficiencies in a manner of their own choosing, before the command decides to do it for them.

Any action that requires someone to approve it, is not a rite. The PSG is not the approval authority for leaves and or passes but their recommendation is considered by those who are.

That said... generally 3 a day PT sessions unless planned and targeting specific muscle groups would be counter productive and not meet the goal of improving the PT pass rate. Look in FM 7-22 Physical Fitness, you can google it and read it as a PDF. Can the PSG do it; yes, but it would take a lot of thought and planning to make it effective mainly due to the need for recovery of the muscle groups.

The Sham Shield is strong with this one.