That's ultimately what media analysis is. Looking at what's trying to be communicated, what's actually being communicated, and how the communication is being done.
And I ultimately believe there's nuance and implicit argument going as far down as you want to look, leading into more and more basic cultural assumptions and norms. Stuff that we're so used to it's universally unquestioned.
A real big chunk of my media analysis toolkit is stuff I learned thanks to my HS English teacher, and I'm really grateful for that.
Pulling apart the implicit arguments of a work isn't actually that complicated most of the time, but it does take a lot of practice.