Looks to me like Fyrox is competing more with Godot or Unity, than it is with Bevy. The cool part about Bevy is its ECS handling. There aren't a lot of ECS-first game engines, and Bevy is one of the few that do exist.
Personally, I feel the real competition is the OSS Rust engines against Unity, Unreal, and to some extent Godot, rather than the competition being between Rust engines. Bevy and Fyrox are both great frameworks.