Funny aye it's harder for me to do a heart than a rosetta
Well I'm not aware of the science behind latte art, but I would like to tell my point of view about that. In my view when you create the microfoam and the crema, the milk become more dense and heavy. If your milk is not well textured you won't be able to do Latte Art because the milk will not be dense enough for create a pattern. About the milk sinking at the bottom of the cup, I guess it's due to the weight of the milk compared to the coffee weight. After being steamed the milk become heavier than the coffee that is why I believe the milk sink in the first place (
the weight). As you said the foam starts forming when the cup is about 2/3 full, so basically you should have 1/3 of coffee and 2/3 of milk. If the milk start forming at 2/3 it means that there is enough milk for starting your pattern. I believe the reason why the milk stay on the top of the crema during the third step is that you have already " a bed " of milk underneath the crema which push the milk up until you fill up your cup. To sum up the milk rising underneath the coffee allows you to create your pattern(
density), the milk has to be flawless (dense and heavy enough) for allowing you to create a proper latte art.
Well I think I don't answered to your question, there is nothing about science in my post, it's more about the common sense but perhaps it will help a bit ( i'm a new barista crazy of latte art so I hope others will contribute to this topic which is interesting )
ps: english is not my frist language, sorry for the mistakes I hope you'll be able to understand what I'm saying^^
+1 for your post