You possibly don’t game to much on PS4.
For most of the games that have single player on PS4, you can skip updates. From all the games I have, Red Dead Redemption 2 was the only one that installed “completely” on my PS4 and it took nearly 15 minutes to start the game. Games like GOW took around 7 minutes and others like bloodborne or horizon zero dawn took around 1-2 minutes installation.
As for PS Now, there are only 3 PS4 exclusives added: Bloodborne, Until Dawn and Killzone Shadow fall. The rest you need to have a PS4.
As for digital games only you also will have to Install the games and also download and install updates if the game has any patches or improvements.
I can tell you, In Xbox One is worst because the installation process take quite time (sometimes a few hours).