I tend to agree, although the discs look almost identical, I used to have a 2007 S-type and could not get a later disc than 2012.
I have recently purchased a new disc, 2017, for my XF, for £29.99, and it works perfectly.
At the supplier I used, they do not sell a newer disc than 2012 for an S-Type, and even on the Jaguar Cars website the newest disc available is 2012.
Cheers, Graham.