Your diet is your own business of course, but a burger for breakfast is… unusual, right?
ground beef can be more things than a burger.
every breakfast joint near me in California has some sort of variation on hamburg steak & eggs. Judging by the fact that it's on every menu, it must be popular to some degree.
A burger is close to a sausage McMuffin which I'm sure some percentage eat for brekky every day.
Not a burger: ground beef and eggs scrambled, with potatoes and whatever fruit-of-the-week on the side. Yes it's a post-gym meal :)