Okey! I want to address two points here. One is your continued misunderstanding between ice core chronology and marine sediment core chronology. The second one is one we have not discussed, how ice core core chronology works.
First topic:
Please understand that the chronology of Vostok ice cores and those of Antarctic marine sediment cores do not represent the same thing. The two chronologies cannot be compared. I have also shown you that your accretion time is erroneous. Snow and ice compress. Upper layers are going to be thicker than lower layers. At one point annual layers will not even be distinguishable. No ice cores have been retrieved with million plus year dates. The dates of the marine sediment cores show that there was glaciation 14 million years ago, in fact more than twice that time ago. There is no conflict, your idea compares apples and oranges. They are both fruits but they are not the same.
Second Topic:
This is the one I have been trying to get you to discuss all along, so let's get to it.
As I have mentioned before, there are several different methods used. What is unique about them is they all utilize simple basic chemistry, fractionation.
I know the basic assumption is that there are multiple snow falls each winter and that they could easily be mistaken for annual events rather than individual snow falls. But that is not how it works. So let's look at the basic chemistry of fractionation. Fractionation is a process by which molecules, or more specifically, isotopes, precipitate out of solution due to temperature. In this case the solution is the mixture of gases in the atmosphere. Each chemical element has more than one isotope. The main isotopes used in the ice core chronology process are those of oxygen and hydrogen, and what is the chemical formula for snow? Frozen water (H2O).
With Oxygen there are two stable isotopes 16-O and 18-O. Because of their different weights, 18-O being heavier precipitates out of the atmosphere more readily than 16-O. So as temperatures become cooler more 18-O out of the atmosphere than 16-O much as the same principle that different liquids freeze at different temperatures. So, because of significant temperature differences, even above the Arctic and Antarctic Circles, during winter and summer the ratios of 16-O and 18-O differ significantly. Thus, it doesn't matter how many snow fall accumulations there have been during any year. We are not looking at individual snow falls, we are looking at the isotope accumulation ratios. By the same process Hydrogen isotopes (1-H and 2-H) behave in the same manner. So, not only are annual layers easy to see due to fractionation, but also winter and summer seasons can be seen within each annual layer.
But that's not all, there are other ions in the atmosphere that behave in the same manner, they are sodium (Na+), chlorine (Cl-), nitrate (NO3-) and sulfate (SO4=). Their ratios can measured through techniques measuring acidity and/or electrical conductivity.
Pollen is another annual marker. During the spring and early summer there is significantly more pollen in the atmosphere than fall and winter. Those ratio differences also give a clear annual signal. Additionally, there is a significant difference of dust in the atmosphere between summer and winter.
Visual layers are due to the difference in ice crystal size between winter and summer. Remember, during the summer there is 24 hr sun and during the winter there is 24 hr darkness. This has a significance influence one ice crystal size which is visible to the eye.
All of the above methods are completely independent of one another. The fact that all can be measured and show the same ratio oscillations clearly supports the validity that annual layer measurement of ice cores is extremely robust.
The distance between peaks or valleys represents an annual layer. The changing ratios show the changing seasons.