Correct, but the RS-25 that are newly ordered from Aerojet Rocketdyne will not be reusable (not built to be reused).
The real issue with that engine isn't its reusability, it's that the industry has learned a lot about rocket engine design, operation, and manufacturing since the RS-25 was developed. That's reflected in the engines available from the likes of Blue Origin and SpaceX. No knock on the RS-25 - it stands as a watershed achievement for humanity in the engineering of thermodynamic systems.
Though calling the SpaceX engines "available" needs the caveat that SpaceX will not make them available outside of SpaceX.
In any case, even if the discardables are all new, it's a shameful step back. I am so glad they have competition now.