According to western bridling, a throatlatch done so loose as to get a hand through is useless and a lot dont even wear them.
Personally I dont see the point of a nose band as it doesnt serve any purpose other than to use a flash to keep the mouth shut, but a normal one doesnt do anything.
I use a bridle without a nose band as I have a parelli headcollar underneath anyway and only have the bridle on for road use and insurance. I put the reins on the parelli headcollar as soon as I am off the road.
Or use bitless bridle and treeless saddle or bareback.
Original statement, a throatlatch has to be too tight if it is to keep the bridle on which is the original purpose, but with a hands width in it, it cant do that anyway. So I agree, pointless piece of tack.