When I meet a monarch I expect to meet a person who has a totally different view of the world than the average joe, a detached person with grandiose ideas , arrogant about his power because of the rule "the King always gets what he wants".
While I feel that biowares writers have developed increasingly poor and unconvincing characters, monarchs are going to come in all range and variety of people because at the end of the day, they are people.
Guy of Lusignan succeeded as King of the Holy Sepulcher by marriage to Sibylla; even with the backing of Richard Lionheart he couldn't retain enough support against Conrad of Montferrat, was abandoned by Richard and the barons voted Conrad as king. Hereditary inheritance isn't a guarantee either - succession politics are some of the messiest and convoluted history you can read about.
In that same era and locale, Saladin, one of the better known Islamic princes in history, is attributed with generosity and benevolence to pretty much everyone, provided they weren't insulting pricks like Reynald de Chatilion, a man who fits in more closely with the definition of a monarch as an unapproachable and distant *******.
I thought the entire Orlesian courts part of DA:I was torturous. "The Game" was absurd and felt like it was shoehorned in. Bullstomping through had zero effect on the outcome - I felt like I could have set fire to the throne room, taken a dump on the Empress and set a bunch of Mabari loose into the scene and people would have at best shuffled aside where necessary and continue to brazenly plot in barely hushed voiced.
I also felt that the choices you were left with were ridiculous. Given the opportunity I'd have just declared war on Orlais because I considered every last one of their primary political leaders to be as over the top villainous as the Sheriff as played by Keith Allen - who is f*cking brilliant, but not someone you'd ever align with unless you were also a diabolical sociopath.
All in all I think the monarch characters in these games, with the possible exception of Alistair whose development can be seen firsthand, are poorly written because they're a bunch of tryhards. As in, rather than be defined by any actual characteristics they're defined by attributes as they apply to The Game - oh she's brutal and cunning and will stop at nothing but she has to do that in the confines of The Game. No she ****** doesn't, she can go balls out crazy in the throne room and slaughter everyone, not wait until she's cornered by a fountain. They lacked any depth or dimension beyond their roles in The Game and really appeared to be interchangeable with just about anyone. I can't even remember the name of the Duke or the Auntie or whoever the hell the others were, they were so forgettable as individuals in their roles to me.
Sorry, probably TL:DR required.