Turns out Mike really was just a reference to that one commercial. There was no deeper meaning, Toby just thought it would be a neat reference and thought 10 or so people would get it. Then once the fanbase decided to go apeshit with their schizo theories, he decided to make a scene mocking those kinda fans.
Guarantee you the egg thing will also just amount to a scene with Gaster cooking you, Sans and Papyrus some eggs, which will in turn become a mockery of the schizo Gaster theorists. You'll then be rewarded the title of "Egg Master" kinda like the Moss Finder title.
"Heard my Dad is suuuuper popular with a bunch of weirdos."
"Of course, I'm EGGcellent!"
Calling it now.