Two full pages of looking up a new rule every other action but not a single person spends even an instant "playing a role" and instead spends the entire time talking about numbers and abilities. Wow! It really is D&D!
I like to sometimes say that roleplay is a misnomer. That what we tend to engage in is actually character play – you imagine a new person with their own interiority.
That does not apply to this example. These are roles, these are functions, these are positions in a game plan.