that late window is pushing things a bit but in a normal year it should be fine. I used the Cicerone book myself but I don’t know about the new edition. The one I used broke the route in 40-something stages and at that pace I’d say you’d have to go for longer than 4 days in between ressuply points (not counting the stuffed huts where you can have meals but you can’t shop).
I took 29 days (4 of them I was hiking with a friend and going for around half the distance I used to by myself), no rest days and only one or two half days. I was pushing it hard at the beginning but relaxed a bit towards the end (29.5 days was my limit). It was taking around 5 days in between ressuplies. I forgot to mention I also ressuplied in Amelie-les-Bains, a big village with a good supermarket. I was skipping any ressuply option not strictly on trail but it’d be easy to hitch a ride down some of the numerous roads to somewhere not too far where there’d be shops. There wasn’t a single day on my hike that I wouldn’t cross at least a road. If I’d be doing it now, I’d probably use the postal service less, if at all, except for the snow gear.
I did some writing on the HRP with a section in English, maybe you find it useful.
Hope Dave forgives us for the thread hijack.