I have never shot their TSS in 12 gauge. Their Heavyshot 4x5x7 even in 3.5" have never bothered me.
I can say I had a Remington 870 21" turkey barrel that I had Magna-Port work on..... That hurt my ears! This was 20 years ago. I had the forcing cone lengthened and the barrel ported. They use like a oval cut and angle it back to reduce the barrel from rising. The pattern improved only slightly, however the noise was unbearable. I didn't have a problem when pattern it. I used plugs and muffs.
Killed one bird with that barrel and my ears rang for 15 minutes! I traded the barrel to someone who didn't hunt. Almost $200 custom barrel traded even. LOL He only shot it on the range with hearing protection.
Good luck.