Exactly the point. You have to neglect your duties in order to investigate. I had the exact same notice while I was sneaking around at night, and found the cuitators, or whatever they’re called, boozing and dicing in the cellar and if you help them with a quest, they may go easier on you when enforcing it. They won’t enforce the rules on you when you catch them in the middle of breaking them. They outright invited me to join them for a drink.
When you get the notice that you are neglecting your duties, that simply means if one of the enforcers catch you, you’ll be questioned and probably escorted back, or put in solitary confinement for a period of time if you can’t satisfy their questions or get caught repeatedly.
Doing some of the quests in the monastery requires you to be outside your designated area for periods of time.
This period of the game is an excellent place to improve your reading, alchemy, stealth and lockpicking skills, and maybe pickpocketing too.
Don’t worry about being outside the designated area. Just don’t get caught.
EDIT: I also got told off for not showing up for work (the library section since I had trouble finding it for awhile.) It’s best to do your sneaking around at night, and maybe try to work the politics a bit.
Of course, in real life the two monks wanting to be Abbot ended up becoming abbot, in the same year in fact. The first one, John, didn’t last long.