Those assumptions won't provide the required randomized entropy for deciding the order of signing.
Now you came up with another argument, one which is completely unrelated with what was discussed yesterday I must add, and pretend that you've closed the question. You argument includes no details, just a keyword. That doesn't work that way, you didn't convince me of anything - I didn't follow the entropy talk of the last month. As I said, either an attack is spelled out, in whatever form, or it doesn't exits.
It's ok for me if you don't want to continue the discussion, you don't have to. The final answer should come out of an implementation anyway, not from the arguments.