Will Multiplayer run effectively on my PS4 (explanation)?

Backstory; So I have a pretty bad internet connection. I d like to do multiplayer on some games, but I don t know if it ll be worth buying those games (COD, Battlefront, GTA, Sports Games, etc.) if it ll just be unplayable. One example or this is NBA 2K16. I bought the game when I bought the console a few months, and when I tried playing Online there was a 2-3 second delay in everything I did. So trying to defend or even score a basket was next to impossible. I figured that all games would be like this. Until I downloaded a couple of the free games PS4 offers in Loadout and Blacklight: Retribution. Booted those up, and they work perfectly fine.

So here s my dilemma. I don t know if they only work because there aren t as many players? Or if FPS games are better at handling bad connections? Or what, I just don t know why it would work in those two games and not NBA. Should also add that in Blacklight it lists your ping and mine is always between 150-200. Say there s a game of ten people, I am usually top four in terms of worst connection. But still, very playable.

I only ask this because I d like to buy games like a Battlefront or a GTA, but I don t want to spend the hefty coin (especially in Canada) on something that I know won t work. So if anybody can speak to my situation whatsoever that would be awesome.