...only to then (in the bathroom) reveal his obsequious but murderously racist personality, urging Jack to murder his wife and child. Using the word 'correct' he is cleaning the surface of language, like a white bathroom then used for bodily functions. That's what these men are, they are caretakers. Every time something gets dirty in the course of murder it is their job to clean it up, it's 'white man's burden' - empire is an organizational structure, it requires men like these to actualize it (to reflect it in this world). They stay alive in this ideology by carrying out it's murders. It is THE END OF LIVING AND THE BEGINNING OF SURVIVAL.
Remember they are having this conversation in the same physical spot as before, in the middle of the Gold Room where Grady spilled the advocaat on Jack. What Grady has done in physical reality is lead Jack in a small circle around the room and then back to where he came from - but with a bathroom illusion substituted for a ballroom illusion.
JACK "He is a very willful boy."
GRADY "Indeed he is, Mr. Torrance. A very wilful boy. A rather naughty boy, if I may be so bold, sir."
JACK "It's his mother, she...interferes."
GRADY "Perhaps they need a good talking to...if you don't mind my saying so. Perhaps...a bit more. My girls, sir, they didn't care for The Overlook at first. One of them actually stole a pack of matches and tried to burn it down. But I corrected them, sir. And when my wife tried to prevent me from doing my duty...I...corrected her."