It will depend on the weather ! If we have a dry winter road shoes will be ok, if we have a wet one then trail or hybrids.
Last year was dry and the path frozen solid so road shoes would have been fine, but later in the year I did the TP100 on the same route and the section around Abingdon was a slippy mud bath.
I ran in lightweight trail shoes for both and was happy with my shoe selection.