 The latter is indeed “more physical” than Turing’s thesis. It is, though, a completely different claim from Turing’s own, and so it is misleading to present it as a “better defined” version of what Turing said. Turing and Church were talking about effective methods, not finitely realizable physical systems. Although the phrase “physical version of the Church-Turing thesis” is reasonably common in the current literature, it is better avoided, since neither Church nor Turing endorsed, nor even formulated, any such proposition.