I wondered how this applied to MFN, so I set up an experiment to replicate the same basic methodology from the 538 article. I took data for NYJ, GBY, PIT, JAX, and MIN for the past 5 seasons since they are consistently the best offenses for that time. I then set up the data to enumerate specific games and drives for those teams within the game. Then found three play sequences in drives where first and second down did not result in a turnover, touchdown, or first down. Then I determined the success of third down based on whether it resulted in a first down or a touchdown.
Here's what the aggregated data looks like:
I'm still working on this, so I'll drop a full analysis here later.