It's all French anyway. I prefer to avoid using the academic terms when possible in first place, but there really isn't a replacement I can use in English
I mean, it generally defines the interaction between classes, but there isn't really a simple term for petit bourgeois. They are technically members of the capitalist class, but if they analyzed their place in the class dynamic they would realize that their interests lay with the working class. They don't fit nicely in either square, so I tend to struggle with finding a term for them