I don't believe use of premium diesel does reduce regeneration frequency. It seems most DPF-equipped cars do a regeneration not just when the sensors indicate there is a high soot loading in the matrix, but also on a mileage-interval basis (presumably as a failsafe to ensure the DPF matrix stays unclogged).
Certainly the DPF-related literature I've seen from Ford, Vauxhall and Jaguar indicates a mileage-based regeneration regime as well as a when-it's-needed regen. My current Volvo is the same -- it does a regen about every 600 - 700 miles.
As an experiment, I used Shell V-Power diesel exclusively in my Volvo V60 for 10 successive fill-ups. Compared with the previous 10 fill-ups (mostly Shell Fuelsave), I gained just over 1mpg, or an economy improvement of about 2.5%. This offset some of the additional cost, but not all. Regeneration frequency and duration wasn't noticeably different.
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