Yep, I lobbed a similar criticism in my post above about the archbishop and Henry being depicted as an innocent dove when he most certainly was not. However, overall I'd still give the film a 7/10, which is high praise coming from me for Netflix stuff, for all the other elements that made it a fantastic viewing experience. You're definitely right about the Salic law thing, though, as the historical Henry V was obviously very well aware of this well before embarking on his invasion of France. It almost felt like Henry asking the Archbishop for clarification was the filmmaker's needs to level with the ignorant masses in their viewing audience who don't know about any of this, and Henry here serves as an acceptable conduit for teaching them about the motivations for war.
"See, audience, I'm a king but also a dumb jock just like you and hence relatable, so that this scene can be more easily digestible and catered just for you."