I think that by the time Popper gave his Medawar Lecture he was very much in the realm of self-evident truth and certain knowledge, whether he realized it explicitly or not:
The strange thing is that teleology enters the world with adaptation. Organisms are problem-solvers. Organisms seek better conditions. All of these are thoroughly teleological terms. “Better conditions” introduce evaluation. And no doubt organisms value, organisms prefer, organisms like this or that better than something else. We cannot avoid all teleological terms, and we cannot avoid all anthropomorphic terms. (2014, 124)
I take "no doubt" to be a synonym for "certainly".
And then his agreement with Mises expressed in his address to the American Economic Association in 1992: "Like myself, [Ludwig von Mises] appreciated that there was some common ground, and he knew that I had accepted his most fundamental theorems and that I greatly admired him for these” (2008, 404).
Professor Reinhard Neck of Klagenfurt presented at the workshop I attended in Vienna from 12.02.24-14.02.24 (Professor Neck's abstract below) and was completely ignorant of this quote from the AEA address when I asked him about it and attempted to somehow attribute it to Popper's state of mind in light of Hayek's recent death, but the address was actually given a couple of months previously.
Popper had also argued the irreducibility of biology to chemistry and/or physics due to the issue of purpose in biology.
I conclude that Popper's views as they applied to the physical sciences became increasingly difficult to hold as they applied to the biological and social sciences, and as a good critical rationalist (or evolutionary epistemologist), his views were at least in flux, if not decidedly changed, by the time he gave the Medawar Lecture.
Popper, Karl. 2008. “The Communist Road to Self-Enslavement (1992).” In After the Open Society: Selected Social and Political Writings, edited by Jeremy Shearmur, 402–10. London: Routledge.
Popper, Karl. 2014. “A New Interpretation of Darwinism.” In Karl Popper and the Two New Secrets of Life: Including Karl Popper’s Medawar Lecture 1986 and Three Related Texts, by Hans-Joachim Niemann. Tübingen, Germany: Mohr Siebeck.
Professor Neck's abstract:
Karl Popper — Interlocutor or Killer of the Vienna Circle and the Austrian School of Economics
In this paper, I investigate the position of Karl Popper’s philosophy vis à vis both the Vienna Circle and the Austrian School of Economics. While Popper has claimed to have killed logical empiricism of the Vienna Circle but communicated with its proponent s, especially Carnap, in a polite and even submissive manner, his relation to Hayek, the most prominent representative of the Vienna School of Economics, was characterized by gratitude and friendship, and he appreciated the methodology of (neoclassical and Austrian) economics as blueprint of his own methodology of the social sciences, especially his situational analysis. We argue that Popper’s relation to both approaches was more ambiguous. His own philosophy of science and epistemology was rather different from and highly incompatible with that of Mises, the early Hayek, and most subsequent Austrian economists, and he even contributed to Hayek’s later renunciation of Austrian praxeology and essentialism and adoption of (at least some) philosophical position s of Critical Rationalism. On the other hand, Popper’s positions in philosophy did not only develop out of his disputes with the Vienna Circle but contained some key elements of its way of doing philosophy, especially the use of formal and clearly formulated arguments and their logical foundations. Hence Popper can be seen as both a critical but friendly discussant of the Vienna Circle’s ideas but only a fellow traveler of the Austrian economists. It can even be argued that those elements of Austrian Economics that seem to be outdated today are quite contrary to Popper’s approach and introducing ideas of Critical Rationalism into Austrian Economics can help the latter gaining more scientific respectability among economists of different persuasion.