It's true that Relativity Space Terran-R, Rocket Lab Neutron, and Blue Origin New Glenn are under development and are planning first stage re-use although none have flown. And also Stoke Space is developing a 2nd stage re-use solution which SpaceX hasn't solved yet. I think another American company could have a Falcon 9 competitor within 5 years if they really move fast. But they haven't yet reached the stage that SpaceX reached 10 years ago.