WK did not necessarily remove “mind” here.
That's not necessarily a problem. If you use intentional language in discussing biology, you could be relying on the mind of a creator. Or you could be allowing that the biological system has some kind of primitive mind. The first is a problem, in that there is no actual evidence to support it.
I don't see the problem in the second alternative, that the biology itself can produce something akin to a primitive mind. And that's roughly what WK's comment allows.
The text in your first image is concerned that intentional analysis will "admit an external agent into the worldview", but I don't see that as a consequence of what I called the second alternative.
We could say that the purpose of evolution is to produce humans. That's leads to classical teleological explanations, where we explain in terms of the "final purpose" - what is to be produced. That kind of intentional language is a problem for science, because science is about mechamisms rather than final purposes.
With the alternative use of intentional language, we can observe that biological systems appear to be in a struggle for survival. But that could be simply an observation about the internal mechanisms of biology. Since the struggle may be unsuccessful (the species could go extinct), there is no reliance on final purpose as part of an explanation. But that use of intentional language does allow us to think of evolution as a kind of trial-and-error learning system, where a species experiments with recombinant DNA in the effort to enhance its odds of survival.