I have vowed to be much less wordy, so this is the Reader's Digest condensed version of an Amber post:
When Master calls me His pet, it is because He has acknowledged and accepted me as such at my own offering. My submission to Him is, as so many others have mentioned, a gift. How, I wonder, is it direspectful to accept a gift freely offered?
Perhaps if there are fear or esteem based motivations behind the offering of one's self, then one should be looking inside to find the source of the feelings of disprespect and/or inferiority.