I'm not buying that mc is a Burgmeister, that's total bullshit at least for me.
So in a moment of reflection I've come up with a new hypothesis: surely the OMG story by Bella must mean something more than just a funny moment, otherwise I can't get why Cake even bothered to tell it.
At the beginning of the tale Bella says she was a freshman at this college named Smith&Reading, which is even bigger than B&R. Could Lynette's family be one of those two? Apart from Burgmeister and Royce, Smith and Reading are the only 2 surnames of rich families we know for now, so why not?
It seems that Sage comes from a rich family too, so maybe she could be either a Smith or Reading too, obviously the one different from that of the mc to prevent incest.
And maybe, just maybe, the red haired eccentric guy at the prep party could be a S&R and thus Sage's father, same for the old man wearing white jacket being Mr. Smith or Reading and thus mc's grandfather, but perhaps that's too much.
Damn too many maybe, what if etc. but we know nothing ffs
But hey, at least is something new, never saw someone bringing this up
Hopefully I got something right, maybe not the mc family but at least Sage's one.