Indeed, tasks do not respond after a hack unless you switch back to them, this is a bug.
As for Crown Coin, yes, it is intended to go away in hibernation, along with all other effects, including ADs. However, you will still gain their effects regardless.
But while i was investigating, i have discovered a bug in hibernation and Idle calculation
These three bugs are not a MUST fix like game freezing bugs or CORE gameplay bugs,so they will be fixed along with a normal patch
Thank you again for reporting these bugs :):)