I've got a Makita that works great but the bit is the really important part. I've got bits from Graham Potter but for some work regular router bits work even better but they are more dangerous.
That said, I rarely use power tools to carve on trees anymore in favor of hand tools and thread carving. I think it is rare for machine carved deadwood to look at all natural on a tree. I mainly use
View attachment 162260 my grinders for carving suiseki daizas now.
Even a Dremel can bite you if you're not careful. Mine got me just the other day...