When the host leaves a custom game does it disconnect everyone?

I have not been able to get into any game modes except for the custom matches. I have noticed that randomly a server will disconnect me, or I’ll randomly get “kicked” it says

My question is when a host leaves does the server die? In gears of wars 3 it would switch hosts and the match would continue (but restart the round)

I feel I would rather have that then the entire server dying when a host rages.

Not sure if I’m just experiencing technical issues or if this is something lacking with custom games.