Not really breh until the N64. ports of PC were gawdawful. I mean next to unplayable shyt. Prior to the 64, do you have any idea what the best shooters were? Doom 1 and 2 for the fukking Atari Jaguar, breh. THE JAGUAR !!!!
By '96-97, people (developers) thought shooters were not a worthwhile pursuit on consoles and were strictly for PC's. Furthermore the question was how could you simulate anything resembling a multi-player element that was accessible to everyone. Remember, in the mid 90's, high speed (56k) internet was expensive as hell. Everyone didn't have it, not even middle-class families.
No one is saying the the N64 perfected shooters in anyway but it quickly closed the gap between consoles and PC's from a graphics standpoint and from a playability standpoint. A lot of N64 shooters ran at between 20-30 FPS, which was fukking unheard of up until that point.
Also, again you are wrong, Nintendo spent millions in research and development on developing a free camera system for it's 3D games, and a lot of games have tried and failed. Nintendo wanted to make a joystick controller that had all these functions and was affordable. A good PC joystick ran you 40 bucks plus and usually only has 3-5 buttons. Keep in mind N64 controllers were around 20 bucks, had a dozen inputs and had controller mounted memory and rumble functions, put that in a PC Joystick and you were out 50 bucks minimum with no rumble.
PSX had a great library and has earned it's place as a top 5 system and it influenced the PS2 and XBox era so much, but in this current-gen it would be silly to say N64 didn't have more overall influence. Let's not even start on how the Z-trigger is in every controller now. The system definitely pioneered 3D gaming on consoles as a whole.