That's a pretty boss theory, and you're right, that does add extra credence to the government shadiness, though I'm not sure much is needed.
One could even go so far to say that Obama ran again in 2012, and still sang Al Green, accounting for that reference, but couldn't quite pull off a win in the face of 'I survived evil face melting terrorists' Ellis.
It's not as big a deal as you're making it out to be. The shows are developed independently, largely by different teams and though there are lots of one directional references (Netflix references the MCU, not the other way around), there are also continuity errors, like this, which are almost unavoidable as the Netflix shows are simply more grounded in reality, and closer to our universe than the MCU. Certainly they leave room to fill in the blanks of a unified universe if you don't look closely, but they're not 'together' in the same way that, say, Avengers and Dr. Strange are. Chiwetel Ejiofor and Djimon Honsou have zero chance of being cast in Black Panther, but Alfre Woodard can play in the MCU and then play in Netflix. Because they're not *really* unified, even though Netflix strives to be.