Very basic here:

The more you add to a drum the less it will resonate thereby affecting, usually a negative thing, the accoustical value of a drum.

Large air spaced lugs
Large legs mounts on floor toms
large airspaced tom mounts (doesn't matter if they are mounted to the bass or a rack/cymbal stand- unless we are considering the bass drum)
tom mounts on the bass drum
wraps of any kind that I'm aware of around the drums.

All these things and perhaps even more- if they are on the drum they will affect the drums inate ability to resonate truer than without these.  Now some drums need the basics so the higher end kits (though not always) generally have stained'laquered finishes, mounting set ups which clamp to the rims (just not the shell of the drum) or at least low surface area clamps to the shell.  Lugs tend to be of the tube lug type or smaller more solid cast lugs.  Its all a matter of surface area contact.  The less stuff touching the shell the better.

Now consider that poor paint job- I'd recommend something other than paint anyway- it builds up a layer on top of the drum- yeah so does laquer but not near as thick and a whole lot better than a wrap.
Even if the end product isn't a nice looking as a wrap it will likely have a better sound