I think "contrarian" is a better description of Oswald's personality and his contradictory views.
Contrarian: opposing or rejecting popular opinion; going against current practice.
And his brother Robert basically said something along the lines of Lee wanting to be "different" and viewing Marxism as a way to achieve that.
What would have been the appeal to him about something like Marxism?
The appeal to Lee of something like that Marxism, communism, socialism, would be something unique, something different — not [an] everyday occurrence.
https://www.pbs.org/wgbh/frontline/article/interview-robert-oswald/
And his brother Robert basically said something along the lines of Lee wanting to be "different" and viewing Marxism as a way to achieve that.
You may recall that Lee talked to his brother on Saturday and told Robert that he shouldn't believe the news accounts of the assassination.... Because there were "things " going on behind the scenes that he could talk about.... That must really have alarmed the eavesdroppers who heard him tell Robert not to believe the BS that was being presented in News reports, because Lee was shot to death less that 24 hours after he told Robert.