Bourgeois is the characteristic of the middle class.
Bourgeoisie is the middle class itself.
The Aristocracy is the class that controls most governments.
that’s not the Marxist definition most leftists use
During the time of Marx, the bourgeoisie was keeping the proletariat down. They directly owned the means of production, since Soviet Russia did not have a stock market.
Now in the US, the bourgeoisie has become smaller and less influential. They no longer own the means of production due to selling shares.
Our oppressors are the aristocrats. They sit on the boards with majority power, giving direction without directly running the businesses.
More like plutocrats. Aristocrats would be the nobel left after the fall of monarchies. Plutocrats are the rich corporate elite.
Or just go with the umbrella term: Oligarchs.