He did. And doofuses claim that made Reagan a Libertarian.
They forget he made that claim in 1977 when libertarians weren’t so stupid as they are today.
That opening statement was typical Reagan looking to connect with the audience and disarm them, he then proceeded in that interview to sell conservatism and try to educate the libertarians on the excesses of their beliefs.
As far as the 1977 LP and today’s, they are the same.