I think the series was finding its "storytelling mojo" in HITMAN 2, but the problem there was that 47 kind of put a hard-nosed period at the end of the story:
"I will choose the truth I like."
It's basically an Everything and Nothing ending. I thought at the time that it was a great line. It sounded tough and cold, while it can also be interpreted as being made with feelings of dismay or loss of faith in humanity.
But it also was the perfect line for a video game hero to say.
After all, 47 is "all of us and none of us". There's a version of him that laughs maniacally while emptying an entire Assault Rifle clip into the Paparazzo, and another one who can fling bales of hay into an unsuspecting Target, and other versions who leave no traces behind of their work - and lets not forget the many versions of 47 that drink a glass of champagne, muttering "Cheers." as Abiatti fries himself to death on stage.
To write a "canonical version" for a video game is a bit hard, and to be honest, Vogt chose a safe route where 47 is essentially Batman. You see, even the Bond films are about James Bond. Particularly the recent ones with Daniel Craig. The Batman films, especially the Burton ones were about the villains and not Batman himself. Vogt's Hitman borrows heavily from James Bond but through it all 47 is almost inert.
He's not the one investigating really, by the end of S1, 47 himself is the enigma and the vast stories from S1 were really the stories of the Targets.
If only for that, I don't mind the current structure continuing - for a while.
I'm almost at a point where I can install Absolution again without feeling bad. So this "antidote" is working for me.
My two cents on a new structure:
There is one structure of story that could be useful: the heroic outsider. This was the structure used for H2 - where 47 is brought in by strangers who turn out to need his help. It's a popular structure for Westerns, and was used to great effect in the 1978 TV Series "The Incredible Hulk" as well as the hit 1989 TV series "Hard Time on Planet Earth".
It's kind of like... what if after leaving Gontrano, in the next game you find 47 somewhere else... living yet another life but realizing he is "cursed" to use his talents over and over again? Yes yes that sounds like "The Equalizer", but no story is truly original at this point.
However, I'm also not sure how long that can go before the title of "Hitman" - a paid professional working within the highest echelons of power and alternatively feeding and weeding the world's darkest underbelly - becomes meaningless if he's always the "powerful stranger who rescues the helpless". If people are already complaining that 47 has become something of a superhero, then the effects of that would have been accelerated if they kept "pulling a Hitman 2".