I am not sure that this is scientifically proven fact and I was trying to search a confirmation for that and unfortunately I wasn’t able to find any. All I can tell you is that vasculitis is an inflammation of the blood vessels and this is leading to the thickening, weakening, narrowing and scarring of the blood vessels (but organs as well).
On the other hand cellulitis is a bacterial infection of the skin and it can be very dangerous sometimes.
It is usually presented as red swollen part of the skin which can spread very fast.
When it comes to the treatment of both conditions that depends on a various factors for example which type of vasculitis do you have. I hope this was helpful.