That is given both the quote and the preceding non-quote text too much weight. It says nothing about what you ascribe to it.not a bibliography, but including a direct quote from Gary Gygax about how important it is to read to become inspired to play D&D.
Gary is quoted that he was inspired by this to create D&D and then the non-quote says that the following list are those books plus a few more that inspired the designers to write D&D.
Nothing at all about it being important to read any of this to play D&D.
And it's tucked away at the very end of the PHB in form of a very boring long list. I doubt most players ever even read this page or spared the list after the introductory words more than a glance
It's nothing but a bibliography preceded by the Gary quote and 2 non-quote sentences