I was part of the test market for that stuff. That was long before it ever had the name 'Axe' and before it was marketed as just a body deodorant spray.
They required me to use it for 2 weeks especially for my underarms without any other cologne, deodorant, or perspirant used anywhere. My impressions: it smelled ok but that smell faded quickly. Without other deodorants or perspirants I stunk by the end of the day. I'd never buy it again.
So if you need another deodorant and perspirant, why not just get versions of those that smell good? I just don't see the need for Axe.