Sea Breeze. Yes the understanding of homo sapiens and related species is expanding. Neanderthal DNA and recent discoveries have lead some scientists to recategorize them as a subspecies rather than separate species. The majority however feel the differences easily justify a distinct species.
The labeling conventions are not really relevant once again. It is only relevant if you want to argue about something.
Neanderthal and Sapien forms of homo (man) did on rare occasions interbreed but the populations largely remained separate for many many thousands of years. Eventually, as we know' Neanderthals were lost about 40,000 years ago leaving behind a small bit of DNA with their Sapien cousins.
BTW, I found it rather inconsistent on the web site you linked to accept the formation of a new "species" in a couple generations of finches through hybridization but insist Neanderthals and us to be same species. Sounds like arguing for the sake of arguing.