Higher session time in private servers?

So out of all the games I’ve released, I’ve noticed that the one which I’ve given free private servers has higher session time averages than all of my other games (upwards of 150%).

It’s very probable that players in private servers would want to play longer, but I’m not completely sure if this is just a fluke or due to the game being a better experience for players.

Do any of you guys have this experience with your games?

either players are having more fun with friends in their private server which then leads to more playtime

or the game itself creates heavy competition between players to get something rare (ex. steal a _____ games), which leads to players just sulking in a private server.

these are my ideas.