It was in there at least. We could always change this. Another problem there was was that games can be emptied while in the lobby state and the game would stay available. Then the first person who entered the empty map would be able to become host.
It would be a good idea to allow the host to change instead of fixing it to the game creator. For now this is a decent way to fix the host to only one person and if people wanted to change they host they could both just leave the page and have the other go in first.
Of course right now there really is no advantage of having a host other than the fact that they have the start button, but later down the road they could make the game more interesting.
I feel like on order to fully flesh out the isHost part for the future we need to do some more designing.