He probably goes down to help with free medical care, but I think it'd be more he sets up around one of the entrances and people come to him rather than he makes house calls through the tunnels kind of thing. Only for serious cases and then somebody has to show him the way. So yeah he'd have fun tagging along.

That said he will probably pick on Lavi a bit... Either telling him this is a surprisingly caring side of him!! Or something more pointed about how the life of a Killjoy is hard you have to maintain all these connections so you cam use others at any moment, Lavi must have an hard time of it going to all these lengths, etc.

Be's an asshole basically gomen.