There used to be a think cut Mamade but they stopped making it. I prefer thin cut but going by the reviews on amazon.com (yes, the us site), there are people adding rind to the thin cut mix.

Mention of Tiptree reminds me of when we used to go to grandad's in Norwich for a week's holiday. He always had Tiptree jams and marmalades and Lurpack (I think usually the slightly salted) butter.