It might, if couched in terms which are testable and falsifiable, be, as you say, a scientific “claim.” But there is a good deal of difference between a claim and evidence.
Claims are great for hypothesis formation. If I claim that whales should actually be classified as teleosts rather than as mammals, this is, to use a loose definition, a scientific “claim” because it asserts a state of things which it is within the competency of science to test. But when I do test it, I am liable to be disappointed at how my “claim” fares. Saying that such a claim can be couched in scientific terms says nothing at all about whether it has any actual merit.
But there is no mind or design conclusion. You cannot get there. Your attempts to make a positive argument are all weak analogies rather than evidence bearing on mind or design. Your attempts at a negative argument, even if successful, would only show that our current understanding of evolution is incomplete. Since nobody thinks it is complete, that’d hardly be an earth-mover.
But here again we see your theology holding sway against whatever small scientific impulses you may harbor. Why on earth would the hypothesis of design, even if it met with some sort of confirmation, “not support further research”? When people discovered that point mutations occur in genes, they didn’t say, “well, that doesn’t support further research; we may not ask why they occur, what the chemical processes that cause them to occur are, what factors influence their occurrence, or what the consequences of them may be.” Nobody, in any field of science, EVER says anything like that.
But theology, specifically Christian theology, says exactly that, except whenever it claims the opposite. I could not count the number of times I have seen people write about how God is unknowable, inscrutable, ineffable, et cetera, and then follow that up by explaining what God is like. Inquiry cannot stop at the design hypothesis; in fact, it cannot produce any confirmation of the design hypothesis without going beyond it, by demonstrating that processes do indeed exist which can account for the phenomena design is said to be responsible for.