Jake, I've never I've never owned the Browning and only got a chance to fire one of them. It didn't seem to shoot any better than either of my Savage 210F slug guns but I didn't get a chance to try different loads and slug guns can be even more finicky than centerfire guns with different varieties of ammo. I have no idea if it's owner had tried a wide variety of loads or just grabbed the first one he found.
I can tell you that the Browning trigger was a whole lot better than the quite heavy Savage triggers. Both my 210s had 7-8 pound triggers. Not bad as to creep and over travel but heavy. I had a local gunsmith who has a national reputation for making slug guns shoot like centerfire rifles do a trigger job on one of the Savages and he brought it to the glass rod breaking" weight of 4-1/2 pounds. I wanted that weight so I could feel the trigger with heavy gloves and cold hands. It really helped ($54 cost). The gunsmith (Dave Klotz of Weedsport, NY) liked the Savage so much he bought one. It is worth noting that he holds some patents on slug gun accessories and improvements and his shop modifies several hundred slug guns each year. I figure that is a pretty good testimony for the Savage.
Savage has no intention of redesigning the 210 to accept the Accu Trigger (I asked).
When the Savage 220 slug gun, with the Accu Trigger, came out I bought one of the very first ones. It had light firing pin strikes and some ejection issues. After repair it has been great. As far as I can tell it was an early production issue that has been fixed.
The 220 shoots 3/4 to 1 MOA groups with the Federal Barnes 5/8 ounce Tipped Expanders. It weighs 3/4 of a pound less than the 210, has the Accu Trigger and has a pretty good recoil pad. Add in the 165 yard 6" mean point blank range (slug no more than 3" above of below the line of sight) and the much lower recoil and I think you might want to take a good look at them. The Savage would leave a lot of cash in your wallet, too.
Savage recommends trying three loads that have proven consistently good groups. Mine like the Federals and Dave the gunsmith was getting softball sized 100 yard groups with the same load. He tried several loads and found one that punches 1 MOA groups. It just goes to show the value of trying every slug load you can get your hands on until you find a good load.
This last deer season I took 5 shots with the 220 and hung up 5 deer.
Hope this helps.
Lance