However, you added the "rate of preservation" to it. And I had no idea on what that is. And I still don't. This makes me think you made up this term. That is fine, as long as you can explain it.
There is a distinct difference between rate of deposition measured over some period of time and rate of ultimate
in situ preservation. That is the distinction I was making. I apologize if I was unclear, as I wasn't quite sure what you were asking.
So far, your explanation is confusing. Basically, I don't think you should mix the compaction and lithification together.
Why not? Compaction is an integral part of the lithification process, particularly in the water-rich floodplain setting you brought up.
And these two terms are not really related to the issue of erosion.
They absolutely are. Early lithification of carbonate sediments in a supratidal splash zone inhibits erosion of those sediments. A lack of compaction in shallowly buried carbonate sediment can leave them vulnerable to chemical erosion, which is the reason karstification is so prevalent in Florida and central Texas.