It flouts McCarthy's wish that no language be called just Lisp. Well, okay, it's not literally called Lisp; it has the "New" in front. On the surface, it seems to be sticking to the letter of the wish. Does it conform to the spirit, though? Is a common English adjective enough? Is "New" a sufficient qualifier?
The mere prefixing of "New" looks like it's claiming to be a new version of something that is just Lisp, unqualified. A "New Lisp" is plausibly something that was "Lisp" before, and was then enhanced to create a new version derived from "Lisp". Lots of projects get rewritten, or otherwise revampd and called "New Whatever". But NewLisp certainly has no such lineage.
One historic dialect was called NIL which stood for "New Implementation of Lisp". But it went by the name NIL, with the acronym just being an explanation for that name (as far as I can tell).
Change the arrogant name, and you will not hear another criticism from Lisp programmers. Make it LutzLisp or whatever. It doesn't matter what it is if it is called LutzLisp; it's not that type of thing that's claiming to be a new, improved version of Lisp.
Breaking, or skirting a sacrosanct rule is now how you play along in the broad Lisp family.