My question is a general one: Does bias play a role in the impact of 1P.
If by bias, you mean preference for X implemention of Y genre (all FPS don't feature the same gameplay even if they are all FPS), liking certain types of settings, liking a certain storyline, liking a certain style of character design, etc.
Then the obvious answer would be yes. Everyone has a bias towards the types of games they like and whether it's 1p, 2p, or 3p doesn't matter in the slightest.
If by bias, you mean platform preference, then that becomes more nuanced. There are obviously some players who will prefer anything on their platform of choice over something on a competing platform. There are also some people that obvious hate anything on a platform they dislike. Those certainly exist, but I'd like to think they aren't the majority.
For me, I like Strategy, complex stat based RPGs, and some shooters. I don't like open world games. When a genre that I like is also open world, then it becomes a question of tolerating the open world for a good implementation or passing on the game due to the open world nature of the game.
I like Sci-Fi, Fantasy, and historical game settings. I like the WW2 COD games far more than the modern COD games, for example. I also liked the Sci-Fi COD far more than the modern CODs.
I like character designs that allow me to play a more socially upstanding type of a person (I dislike games where I'd have to play a liar without the choice to play them differently, for example.)
All of these things and more go into determining what types of games I like. As such, there aren't currently a whole heck of a lot of 1p games I'm going to like. HZD, I love the setting, the gameplay is good, the story is engaging, it has a main character I really like, but it's a very UBIsoft style of open world (massive bleh). That's the only one I'm going to mention as it has a lot of things I do like, but it has one massive thing that I don't like. I'd probably buy it if I owned a platform it was on, but I'm not going to invest in a platform just to buy it.
The Witcher 3 is a similar situation for me as HZD, but it was already on a platform I owned. Also one I never got more than about 15% of the way through the game due to the open world nature of the game. If it wasn't available on a platform I owned, I wouldn't have bothered to buy it.
Regards,
SB