Is this printer work past Catalina?

I have had this printer for 10 years and I have been very happy with it over the years, but my Mac is aging and I may need to upgrade, while keeping my trusty 2014 Retina in service as well. Part of the reason I have kept this computer in service as long as I have is my mono laser. My color laser doesn't have an issue as I just got it and it's a current model with Catalina support (bravo Lexmark) and will carry over to a new Mac well, but my monochrome laser is kind of a question. While my color laser does mono printing, it isn't proper sharp mono. It is gradient based black output where it only uses the black toner and doesn't deploy the CMY toners. It's still sharp, but it doesn't print like a monochrome only laser does. The mono output from the color Lexmark is fine, but there are times I want the sharpness and low CPP of a pure mono laser.

Has anyone run these in Big Sur and Monterey? If you have, are there any problems I should be aware of?