Oh that really sounds bad, i wonder how that problem occurs or what the reason is for that.

It seems like whoever is connected to the host is heavily affected by the lag (even the minimal one) and is unable to shoot on time, rendering the game unplayable to everyone who isn't playing the game locally.

may i ask for further explanation of what the problem could be why you think it won't work?

Good concept but I think it doesn't work well through network gameplay