I’m thinking of specific improbable events whereby the basic components like RNA, Proteins, enzymes, molecular machinery, lipids, carbohydrates, etc form. Perhaps I am mistaken, but I think we have a decent idea of some of the basic hardware a self-replicating cell will require. Not just any sequence of amino acids will do, we need relatively specific things to happen for the origin of life. I think this is James Tour’s point when he talks about OOL science, simply assuming all these building blocks for life will form through the necessary chemical reactions is naive of the chemistry involved. And from my perspective, it seems like the informational problem is even more challenging for naturalistic OOL theories.
I don’t see how this “incredibly improbable events happen all the time” argument really deals with the fundamental chemical and informational problems facing OOL science.