Left = Egalitarian flat power structure https://en.wikipedia.org/wiki/Left-wing_politics
Right = Hierarchical power structure https://en.m.wikipedia.org/wiki/Right-wing_politics
The collectivist/individualist framework you describe is propaganda to appeal to supporters.
Authoritarianism is the sole perview of the right. What makes it confusing is that right wing people claim to support leftist ideals.
I think it is unethical to test this technology on anyone who does not consent. It is too invasive and damaging. Our testing framework should be revised for brain interfaces.