Just dont burn your house down plz :)
There is all sorts of intelligence in that thing that regulates when and how much it is charging/discharging. I doubt the main power connection is broken but it probably is switched of unless it is connected to the bike to prevent damage to the bike and you and your house.
There is also probably temperature sensing in it, which could be broken and prevent the battery from functioning because the controller thinks its overheating/freezing.
Edit: Also with stuff that you expect to be outside in the rain (like a bike) you really dont want to have a bad seal on the battery. If you get water or even just humidity in there it will lead to all sorts of bad stuff chemically and electrically.