In a word, yes. As for your oxymoronic term "random assembly," it is my contention that once it is an "assembly," the "random" nature takes a back seat to the purpose and function of the assembly, which you were using to demonstrate the (unobserved) mathematical potential for rapid evolution. Or are these "random assemblies" mere junk that have no biological function and thus serve no purpose in the greater cause of survival?
In a word, yes.
In a few more words, try reading that post of mine again -- I was indeed speaking of random "junk" sequences, since I was pointing out that polymers can assemble in an unordered (i.e. random) manner faster than they can assemble in a more controlled, ordered manner which produces a specific sequence.
Too many words, too many sylables per word. Try and get them down to 1 and 1, respectively.