Savage does have a huge following and it's not an accident. They have made an effort to give the shooter what he wants in a package that's engineered for mass production. That's how Remington stole the market from Winchester back in the day. That was back when Remington had people like Mike Walker and Jim Stekl competing. Remington's tin ear has knocked them down a few notches these days.
They still make a good action and it is the most copied with the most aftermarket support. As for winning matches; it depends on who shows up with what and is having a good day I think.
Remington stole the market from Winchester because they made a cheaper product that worked well enough. I think in 1948 that a 721 was $30 less than an M-70 or about 15%. That would be $300 in 2020 dollars and that was a lot to your typical hunter and shooter in the late 40s and 50s.
Savage also makes a cheaper product that works well enough. They have also tried hard to make affordable entry level rifles for various types of accuracy shooting, and they are to be commended for that. If they would smooth up their action a bit and improve their stock design, they would have an out of the box, reasonably competitive LR BR rifle.