I think what your relatives mean is that if everyone has a stop then it'll be messy because everyone will try to go first after they have stopped...
Here in the UK they have installed 2 stops and 2 give ways at a nearby crossing and it's already quite dangerous because no-one is sure what to do: those with give-ways think they should go before those with stops, those with stops think they should go first if they arrived first... honking ensues very often. If you're lucky it ends in a very British "you go first, no you go first" contest, which is not very practical, either.
Some people try clock-relative turns, but that only works if the vehicles arrived while an existing rotation (of prior vehicles) was in progress.
there are accidents, of course, but i'm not sure of any 4 way traffic junction that's infallible.
and as others stated, right-of-way rules are observed atop the social norms.
It works fine most of the time and 4-way stops are usually only used in city streets where the speed limit is 40-50 km/h.
They are dangerous if used on more rural roads where people aren't expecting they have to stop or misjudge right of way.