A lot depends on the size and density of the knots in question but if things are relatively equal, synthetic dries fastest, then badger and then boar. My badgers have been fairly big and dense, which pushes their drying times closer to boars. Small badgers don't make sense to me. I've never had a boar that isn't dry in 48 hours though - even in winter with a big knot like an Omega 48.
Boars are also my favourite for shaving with - particularly banded Omega boars. Soft, split tips with good backbone at a decent loft - a great combination that is hard to beat. Loft is under-rated as a means for developing a good lather. I get why people like badgers but I find them too be too much of a lather hog at the (larger) sizes and dimensions I like. The face feel isn't really for me either but I still keep one just for the variety.
The main problem for boars is the fact the brush doesn't last all that long and will start to shed. Given the price, it's not a huge problem but I'm also really liking my Yaqi rainbow pony 26mm synthetic. If I could only have one brush (!), it would probably be my pick just on sheer practicality, particularly for the price - I just can't really fault it.
Although it's nice having my 30mm Yaqi for when I want to get through a few soaps...! It certainly generates an abundance of lather....