Hi OP
I left my cux in the shed for a little over a week recently and forgot to turn off the breaker, even though I didn't put the alarm on I still got a fair bit of battery drain so what your describing sounds about right.
Personally when leaving the bike at home I prefer to put the steering lock on but remove the battery and put it in the house, if someone wanted to steal it I'm not sure the pretty quiet alarm or locking rear wheel would do a whole lot and I'd rather keep hold of the battery given the cost!
But then I haven't tried the app as don't think it works in the UK so don't use the tracking function.