I think the spirit might be there, of walking in the footsteps of those who've come before, but I rightly think that the music of Parker, Ware, and Berne is a LOT different than anything that existed in the 1960s. Parker was on the scene by 1973, yes, but his music has evolved heavily -- HEAVILY -- since then and it is hard to really put it into the same box. To compare what they are doing to what was happening in the lofts and coffee shops of the Village then, or churches and community centers in Chicago, is not really fair to either the 'then' or the 'now.'
McPhee was born in 1939 and is a living master, completely beyond category. Yes, he knew the Ayler brothers and their work was/is an influence but I've spent enough time with the man and his music to know that it (and he) goes further than that.
Wynton knows who William Parker is.