MIXING IN THIRDS!!!???????

a very common technique is to mix in thirds, referring to groups of instruments

Maybe that term is common in Indiana...cuz it ain't in Hollywood/NYC.

And if the guy who said that is mixing pop and vocal-oriented music in general, that's probably not what he's saying.

Starting with drums and bass and working up from there is by far the most common way that most rock records are mixed.
 
Maybe he was just kidding you.:)
Your mix going bam because of a mysterious technique... Sounds kinda funny to me.:p