I plan to start in mid-June and have the same question. Given the huge numbers walking the CF, it would seem logical that the pentup demand after COVID would bereflected from Vezelay as well. Also (since I’m 81), have any local operators started to carry backpacks forward?
Have walked this route years ago. Din't meet anybody doing the whole route. but just a few walkers doing one/two days bits. This said i would be very surprised if there would be an organized service for bag transports . It is a very beautiful route.
Check here if you can find some clue
When you do get to France in the tourist offices ask about the Chaine d'Hospitalité Locale. Those who offer pilgrims local hospitality do so for the pleasure of meeting/greeting pilgrims as well as helping them find their way.