Not at all. I think humanity engineering things for its own benefit, including biology, is good. But evolution as a force of nature has been proceeding uninterrupted for millions of years and many species have gone extinct when their niches disappear, or their adaptations become less advantageous. Humanity has evolved to be able to create technology beneficial for us. I don't necessarily see how it immediately follows that using that technology to preserve other species is beneficial.
That niche specie that we let go extinct because of 'naturality' could have evolution advantages over humans that would prove very useful in biological research. They could be especially hardened against cancer for example, but end up being wiped out by disease and famine rather than old age.
Not to mention humanity has a global effect on species population, it would be hubris to assume a species going extinct nowadays is separate from that, even if they have been in a steady decline for quite some time.