And they are anti authoritarian. Anti controlling authoritarian or fascist.

There is a big difference
Between anarchists and the anti fed types that want to escape state authority so they can become another authoritarian.

Anarchists are against domination by a fascist and do not want to be fascist themselves.

Anarchism is a socio-political theory which opposes all systems of domination and oppression such as racism, ableism, sexism, anti-LGBTTQIA, ageism, sizeism, government, competition, capitalism, colonialism, imperialism and punitive justice, and promotes direct democracy, collaboration, interdependence, mutual aid, diversity, peace, transformative justice and equity. (Nocella et al. 2015: 7)

A thorough-going anarchism would thus offer a critique of anything and everything that smacks of hierarchy, domination, centralization, and unjustified authority.

https://plato.stanford.edu/entries/anarchism/#ApplAnar