Your statement is confusing.

How can you first say Sony Isn't that "big into games that much to begin with." And then follow your argument up by saying "Only reason why PS4 is doing fine is because of the fact that Sony has first party games" It's a clear contradiction.

You claim their " mobile business isn't doing that great either" But I can't find any evidence of that aside from it's practically non-existent. Most of their previous mobile offerings are free with no In-app purchases. However, There is a single game that I can find that's $0.99, but it came out 3 years ago and is no longer supported. Sony claimed that there are 10 mobile games in the works, as of a 2016 fortune article, but nothing has come about that since. Unless this is in regards to the Play Link system, and if it is, I would say that it's been rather successful considering the reception.

The reason Sony is doing so well at the moment is its the combination of First party and 3rd party exclusives. (Sega and Atlas, Marvelous, Tecmo Koei, and Square Enix have all showed repeated support with exclusive games) along with netting exclusive content in multiplatform games. I don't understand why you seem negative about multiplat games or how you know that "people were stupidly hyped thinking it would come with the games they want to play when in reality, majority of them are just multiplats" is a "fact". Every one of sony's Main IP's has a game out on the ps4, so "what were the games people wanted to play" specifically?