Use 3 envelopes to see the geometry. Put one on a table, facing the long way. That's will represent the left side of the jamb. Leave a gap to the right of that envelope the width of an envelope and put down the second envelope. So now you have the door opening between those two envelopes.
Now use the short side of the third envelope to represent the door. Position it so that it's in the opening, tight, all the envelopes are just touching. You will see that if the "door" only extends into the opening a little bit, when you pivot it to represent opening, it only takes a little clearance for the far side of the door on the side opposite the hinges to clear the opening. Now move the door envelope so it's way inside the other two envelopes that represent the door opening. Try pivoting it again, the same way to represent opening. Unless you increase the size of the opening, the far side of the "door" on the side away from the hinges will hit the door opening.
The extent of the issue depends on the geometry. For the small change in door thickness he's talking about, it could very well be so small that the door will still open. But if it hits, then all that's needed is to remove maybe 1/8" of material from the side.