As an archaeologist this is an enormous no.

First of all pottery, that stuff never degrades. We still find it thousands of years later.

Then there is our bread and butter for the middleages. Garbage piles and cesspits.

These nasty areas were always near the house and were used as general garbage pits. While a lot was "biodegradable" as you say. That does not mean it disappears. It just means it becomes a giant pile of mush which nowadays gives us the stink of knowledge about the past.

One thing many people don't know. You know what a Tell is. You know those large hilly things which are very old.

Just a pile of garbage.

The only reason these things are so high is because they are an accumulation of thousands of years of garbage. When one level was unlivable they just filled it up and built everything on top.

Sorry for the rather non-academic nature of this answer but garbage is the colloquial term for the "material history" we archaeologists always talk about. Using that word would be bad marketing though. Ed. Spelling