Communism and fascism are joined because they are both totalitarian. Diagrams are never perfect, but they sometimes simplify a discussion when several variables are involved. The primary objective of conservative ideology is economic competition. A conservative will find little need for government intervention. Conservatives assume decisions are made rationally by free will, and that everyone has an equal opportunity to succeed.
People are poor because they are lazy or lack capacity.
Consequently, a government incentive subsidy wouldn't work. The lazy would squander it, and those lacking capacity would not improve. The primary objective of liberal ideology is equal opportunity. Contemporary research has shown success is not due entirely to free will and individual capacity. Environment and early learning also play a role.