When reading modern books/biographies about Lorenzo (note: books, not peer reviewed journals or studies, so less research is usually done), the authors tend to blame Galeazzo for causing Lorenzo more trouble than what's worth. I don't think it's really fair to do so since being allies doesn't mean always accommodating for the other party. Man's got a duchy to run, obviously he'd put his own people first.
Anyway, Lorenzo did not hate Galeazzo or vice versa. The latter making the former godfather of his children (not just because of the gift) shows as much. Them being childhood friends also helped relations between Florence and Milan.
[Image source: A Family Of Decent Folk 1200-1741. A Study In The Centuries Growth Of The Lanfredini Merchant-Bankers, Art-Patrons And House-Builders Of Florence by Mildred Mary Blanche Mansfield]











