Forgive me if I missed it but there is one advantage of the thread over brake mounts that I don't believe has been mentioned. They act as sacrificial blast baffles that are replaceable.
All suppressors experience some level of flame cutting of the blast baffle. How much depends on multiple factors (powder capacity of case, length of barrel, blast baffle material, etc.) but it happens. If you have ever taken a good look at the blast baffles inside multiple suppressors with extensive use after they have had the carbon and crud cleaned away, you can see the effects. Worst blast baffle erosion I have ever personally seen was on a direct thread rifle suppressor shared between several magnum caliber rifles. It was brought into the dealer when the owner complained that accuracy had deteriorated over time. I happened to be there after it came out of cleaning and before the owner picked it up. The dealer's observation was that cleaning it would probably help with the accuracy but the level of erosion probably meant it would never be as accurate as it was when new due to the disruption of the gas flow caused by the erosion. (This makes sense to me but I'm not a physicist.)
I own multiple .22lr, pistol-caliber, and rifle-caliber suppressors. My current rifle-caliber suppressors are all QD. They use flash hider mounts on some rifles and brake mounts on others based on cartridge and barrel length. None, however, are considered "precision rifle" suppressors even though one of them is currently used on one of my hunting rifles. I'm presently in the market for another rifle suppressor and, after talking to several manufacturers and getting feedback from quite a few owners, I have decided it will be a TBAC Ultra 7 using the Compact Brake mounts.
All of this is just my opinion and worth exactly what you paid for it.