Okay, I'll chime in on this one...
I agree with a number of the folks here, especially about the difference between cleaning and restoring.
If all you're doing is cleaning the kit / drum, then clean the badge as well. If you're going to restore the kit / drum, and the wrap or finish is restorable, then restore the badge as well.
I've got a 40's Slingy GK RK WMP snare that the wrap was toast on. I rewrapped it and polished out the brass cloud badge. I polished everything else as well. I restored the thing. And yes, in my world there is a restoration definition for a rewrap as long as the original wrap is beyond saving.
My two cents...