Honestly: yes.

There’s other classifications or sub-classifications particularly with regards to how much someone may benefit from capitalism and therefore where their interests might lie, but ultimately I think the bourgeoisie vs the proletariat is about how much influence they have over how society works.

Here’s another infographic which tries to cover that angle, no comment on how successful/ accurate it may be. Personally I think it divides people too much. (Source: Reddit, latestagecapitalism)