That was a really great program.. I taped it so that I can watch it again.
I've had a Colt SP-1 since the mid seventies. I've always loaded 20 round mags with 20 rounds and 30 round mags with 30 rounds. I have never had a single jam or failure to feed because of this.
A shooting buddy has an Auto-Ordnance semi-auto, long barrel version of the Thompson, along with a bunch of old beat up military surplus 30 round mags. The old timers at the club told him to only load 28 rounds. He ignored them and always loads 30 rounds. He's never had a single problem doing this, and I'll bet he's fired 10,000 rounds through that gun in the last 20 years.
I sometimes wonder if these old "war stories" ever had a basis in fact, or if they got started by someone that just wanted to impress the girls at the USO.
If a magazine is designed and manufactured to hold 30 rounds, and loading it with 30 rounds causes a problem I would send it back to the manufacturer and have it repaired.