I don't think it's a stupid topic at all. That said, as a mastering engineer the broader concept makes me cringe, and brings to mind "art mastering", which has a role, but is in my mind most useful when the mix is fubar.
Stepping outside my job description, if you ask rappers about it, Brian Gardner is one ME who certainly gets work for his "sound", whether or not it exists. And, I can often identify who mastered a record without looking at the credits simply based on sound. But honestly, the most easily identified "sounds" from mastering are charicatures, not something to be emulated. Certain types of clipping, rote tonal balance, or over-the-top processing can be quite distinctive, but over a body of work, rarely pleasant.
I hope I don't have a "sound", and I take steps to avoid tunnel vision in my work. But habit and temprament being what they are, would I even know if I did?
-d-