Hi Bill, and welcome to the club.
I have the s type 2.7 Diesel and a very good engine it is. I have never had a problem with the DPF, and all it needs is about 1 longish drive a month --- about no longer a the 40 minutes at around 45 mph or over. I do mostly short runs and less than about 6500 miles a year. The stories you hear are mostly apocryphal.
However I do believe that your model does not have a DPF fitted. You can usually check this by looking at the exhausts. If the exhaust gases are directed downwards there is no DPF filter fitted.
One little tip is to always make sure your battery is regularly charged as the S Type does not tolerate a battery in bad condition.
And if you have the Message "Parkbrake Fault" just disconnect the battery [make sure you have the radio code] and then after a minute or so connect it, apply the footbrake and parkbrake, and then reset your clock, volumes, radio, windows etc. [There is a post with full instructions].
Meanwhile, enjoy the Club and your Jaguar.
Regards,
Peter.