Sorry but not proven in any place in my 150 plus books on him.
He was never a Mao guy. Song had an old folk melody and he said the idea was a piece of paper blowing on the ground and someone picks it up and reads it but then sets it back blowing on the ground again.
In Paris he was angry about the anti-American talk due to the Vietnam protests so he took time to locate an enormous American flag that stretched across the stage behind him and revelled in the boos against him for doing it.
Sing Out magazine interview said “All of you against the war
......” and he abruptly said “What gives you the idea I am as you say against the war. Who told you I was against it?”
IIRC, from a movie about him, his switch from folk instruments to rock instruments was also a rebellion against fans who thought they had him pegged. Also, IIRC, seems like the same movie implied he left Joan Baez because she thought he was something in particular. He isn't one to be put in a box.
Maybe so, but his mentor was the old Stalinist Comrade Pete Seeger and his early recordings definitely leaned left.