No, but I suspect it’s French in origin. The clue is in the 2006 citation, where a pronunciation is explained. If, in fact, the word is pronounced with a short E (making it something like “su-PREMM”) then it might be spelled “suprême.” However, none of my French dictionaries have anything food-related under “suprême” or “supreme.”
Merriam-Webster’ s Unabridged Dictionary, available here for free if you watch a short advertisement, has the following food-related definitions:
1. suprême: a rich white sauce made of chicken stock and cream—called also sauce suprême.
2. also supreme: a tall footed sherbet glass with a large bowl.
3a.: a made dish (as an entree) dressed with a sauce suprême <a >suprême</i> of sole> b also supreme: a dessert served in a suprême.
So a completely speculative and unreliable theory I have is that a citrus fruit, when cut in half and relieved of its slices, might leave a bowl of fruit skin that looks a bit like the suprême in sense 2, influenced perhaps by the citrusy nature of many sorbets.