I used my friend's PSN account to download and install a game on my own PS4. However, my friend does not want me to mark his account as "primary" on my PS4 so I can play the game while he's online on his own PS4.

I want to buy this game on my own PSN account so I can play it while he's using his own PS4, but I have a poor Internet connection and it would take a long time for me to download the game again. Do I have to download the game again if I play it using a different account?