Very intersting theory.
As Fretsource mentioned, there's no way to tell what kind of extent they went to when tuning the drums in the studio. You can tune drums to the key of the song, but unless you hear the drums in context you'll have no way of knowing whether they did that or not just based off the drum intro.
I think most of the time the drums are tuned relative to each other and not necessarily to a specific key though. There are many methods to finding the "sweet spot" in terms of tuning the drum to sound its best which depends on the size and type of shell, drum heads, etc. So the chances of the drums sweat spot matching a specific key are probably not to likely and you wouldn't want to tune the drums to pitches where they don't sound their best. DW drums actually come with notes printed on the inside of the shell that specify the resonant frequency of the shell.
So while it may be possible, the odds of picking the key for any random song just based off the drums are probably not too good.
-tkr