Speaking as someone with virtually NO elite status.
It seems that comped status is usually a low or middle tier. Just enough to whet the appetite, but not enough to truly displace the highest tier elite.
So if you're the highest tier, comp-mania doesn't impact you as deeply as much as low or middle tiers.
I've received a few comp offers, Hilton being the latest. The out-of-the-way places I travel don't have Hilton (Holiday Inn is consider the "fancy" hotel in these towns), so it was fairly meaningless.
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"I will not be pushed, filed, stamped, indexed, briefed, debriefed or numbered. My life is my own."