Haven't heard the newer v3 or beyond axioms but I did own a pair in the past, I would say that the BW are superb speakers for the most part and you would be easily happy with a pair. I cannot say for sure which is better but I moved from axioms to many speakers and eventually ended up with BW.

Currently I have the BW802d3, Sonus Faber Olympica 3, and BW PM1.

2-CH:
SB3+PSA DAC3/Scoutmaster TT -> Cary SLP98P -> Plinius SA102 -> Martin Logan Summit/AV123 Mini