No, in this case business describes how the union functions. A business union like the NEA is prone to union busting their staff. With a business union, you go to a steward with an issue and they say that they’ll take care of it.

A class struggle union is typically lean on staff and the local is handled by volunteer members. Stewards work with the member when there’s a problem to try and find a solution collaboratively. It fuels the “injury to one, injury to all” mentality.

Trade union just defines a union within an industry. WGA is a trade union for the entertainment industry, IBEW is a trade union for electrical workers, NALC is the trade union for the post office, Teamsters is the trade union for truck drivers, etc.