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I did it on rigid mtb with 2.1 tyres. Was a great choice for the rougher bits (via de sale, etc), less good for the road bits. Tyre choice is probably most important - wouldn't want to go narrower than 47.
Majority of people were doing it on gravel bikes but you'll be fine with either. Lowest gearing possible is main thing, there is a lot of steep climbing.
Think I took 8 days, most people did it in 6 or 7. But basically you want to take as long as you can get away with - the longer you have, the more opportunity for leisurely meals, etc. The route's flexible enough that you can adjust it as you go along depending on time limits. If I'd had more time I'd have detoured to Molini di Triora. Whatever you do don't miss Via di Sale.
Personally I'd sacrifice time in Nice for more time on the route - Nice (for me anyway) was horrible and overcrowded after being out in the mountains and was glad I only stopped there briefly before heading to the airport. On the other hand Turin is a nice place to spend time beforehand.
Would love to do it again - don't think I've met anyone that's done it who hasn't had an amazing time.(have probably spammed my photos on here before, but if not - https://www.flickr.com/photos/adownie/albums/72157711147121713)
is there a general concensus on whether this is better on mtb or gravel bike? Or does it not really matter.