I don't have my copy on me because i lent it to a friend after they started the show, but I don't remember it that way. Dunk is pretty clear that he will take Egg as a squire but only as a hedge knight and not at summerhall. Maeker actually agrees after Dunk points out how his other sons haven't turned out well with a silver spoon in their mouth. I think the show actually did a well job showing that Maeker cares for his sons even if they are far from perfect.
In the end of the book, Maeker is the one that greets Dunk as they are leaving and tells him to take Egg iirc. That is the whole purpose of the boot Maeker gave Egg. The boot is an important plot device in the next two books.
My theory is that either Egg is going to create the boot himself, or they will reconcile sometime before the next season since the second book is roughly 1ish years after the first.
Also GRRM acts like his is focusing only on TWOW now, though I would enjoy more Dunk and Egg books.