Edit: Title was "Can MX-810 programming be exported to a newer remote?" New title reflects conclusions after your advice.
I know that a few URC remote setups can be exported, migrated, whatever, to newer models, but cannot find a list of such things.

A drastically non-techie client has a system on an MX-810. We're going to move her to a newer remote and add another of the same model for a second system in another room. I'm hoping to make the change as painless as possible and perhaps keeping the original programming might help.

Can the 810's file be uploaded from it and exported to a newer model?

The 81 is not in the list of components in CCP and the only download I see for it is a wizard-based program.