So he does, but i don't know. It's a pretty weird idea to go back home from "hanging out" on foot at 4-5 am. We know Axel has a car and the scene doesn't mention anything about him being possibly drunk, so it's not like they couldn't just ride back home. Maybe it's just a bit of clumsy writing for the sake of the plot, it's hard to tell.It is just that he tells Lena (in front of Cherry) that they were already on their way home.