Yes and it's also stated in the OP that players can't bet on their own but I think this one can easily be bypassed. Especially if the betting is done only online. We have crypto casinos now which doesn't ask for a KYC. They can also use a VPN and other tools to hide their information more evenly. They can also pay people to place bets for them. Players knows their ability and they can also estimate the ability of their opponents so even if let say no fixing will happen, they still can be tempted to bet.
If I am of the players. I think I will just focus on my career and I don't want to do things which will affect it. Besides, I still can earn and I can earn better once I get popular someday.
Even though they can do various ways to bet without involving their identity, professional athletes will not do that because they are focused on future careers, if betting is to win/lose then it will be tied to the betting choices that have been made, of course losing choices are things certainty but no athlete is willing to lose just to earn a living from betting but have to sacrifice their sports career.