[Pete]

You can do anything you want.
You can run olive oil in your crankcase.
You can run 7up in your radiator.
You can run tap water in your battery.

You can mix new and used lifters on new and used cams.
The car will still run but it is not the best thing to do.
You might get away with it for a long time but at least 30% will fail early.(As noted from 65 years of watching it happen)
It has to do with wear in. You wouldn't lap a valve to one seat and then install it in another hole.

Another point, there is no such thing as "polishing" lobes in the real world. You can call it anything you want but the lobes are ground. The journals are polished.