the 6 hour figure is a reference to the fact that there is a "refractory period" associated with muscle protein synthesis ( MPS )
that is to say a high protein meal ( Leucine Amino Acid in particular ) will stimulate MPS for say 1.5-3 hours and then it cannot be stimulated again by a meal until about 6 hours pass. this is similar to how when you have an orgasm you can't have an orgasm again until some period of time passes.
the practical implication of this is that if you had a good meal and then had nothing to eat for the next 6 hours you haven't lost an OPPORTUNITY to build muscle because there was none. but if you continue to not consume protein after 6 hours you're now throwing away that opportunity to build more muscle.
this refractory period in evolutionary terms is probably related to the time it takes to digest something like a steak, but is not actually directly driven by digestion. the refractory period for MPS is AN INTERNAL CLOCK
think of it as Jet Lag. you fly to another time zone and the body ignores the sun rising / setting time and just uses an internal clock instead. same with refractory nature of MPS - the body ignores actual availability of amino acids from digestion of food and instead uses a clock to make assumptions about their availability so it builds muscle for 1.5-3 hours after a meal then stops and refuses to build again until 6 hours Post Prandium ( after a meal ).
it's actually hard to communicate what happens because our language is too primitive to explain how the body works. in the body most opposite processes run in parallel at all times. so you're both building and breaking down muscle 100% of the time and the same for fat etc. this isn't how people run their lives - nobody is running heating and AC at the same time for example, and for that reason our language is poorly equipped to deal with how the body works.
so when i say the body is building or breaking down muscle it can mean different things because the body is always doing both of those things and yet it doesn't always make sense to think in those terms and so on ... this is why people of average intelligence need rules of thumb and diets and so on because they can't understand how it actually works ...