Can someone be put on remedial PT program if they look fat or have a beer belly?

Commanders have wide latitude and discretion to place you on any PT program they choose. They also have the responsibility to ensure you look like a professional Soldier as well as meet physical standards. 260 is an OK PT score and by no means stellar. While you're above the Army standard and can't be flagged for that, remember that the Army standard is literally the worst you can possibly do in the Army without getting kicked out. Any good commander and NCO will always be pushing their Soldiers to the most of their potential, not to the bare minimum.

Our entire company was put on remedial PT for a month, and we didn't have any failures I knew of, so I'll say yes.

Nothing in the regulations that state that the Commander can't dictate whatever kind of PT program he wants. I mentioned in another thread that I had a Commander that would give you a "Meets Expectations" on any score of 300 or less on the present test. 180 points is minimum standards, but there a many units, at least on the Infantry side, that have goals of 270 and above. That usually means additional focus on PT.