You should not be always in connected standby unless something is running that prevents the unit to go in to deep sleep. In the morning, do you have use the power button to wake your Surface Up? if you do, that means that your Surface is not longer in connected Standby.
in the morning once i pull the charger out, sp3 turns on immediately. In all honesty, I like this. If plugged in, not sure why the default behavior isn't to remain in connected standby.
at any rate, I restarted the unit (which I haven't done in quite sometime) in the event something was preventing it from going into deep sleep, so will see what happens tomorrow morning.