Dogs should not eat any kind of hot peppers (e.g. pepper-jack cheese). They can cause vomiting, diarrhea, and flatulence.
And cheese should generally be avoided, although small amounts should not be harmful unless your dog happens to be lactose intolerant, in which case, also vomiting, diarrhea, and flatulence.
Oh, it would definitely speed it up… particularly the “rejection” phase of the process.