Forces are frame independent as we know.You can also check and understand here: Why are forces independent from the frame of reference?. Magnetic forces are not frame independent,rather it is just a component of Lorentz force. read more
You could think this is also a magnetic field, and you are right: there is no fundamental difference between electric and magnetic fields: only one can do work while the other cannot, i.e. the Lorentz force components are different. read more