I think what you meant was that since spin-3 or spin-4 describe GR. Then spin-2 describe "gravity" that is not 100% GR. This is very important to distinguish because it means spin-2 over flat spacetime is not equivalent to GR even those describe by harmonic coodinates.
The meaning of equivalent is "=". So when something is not matched 100%. They are not equal. So when you said before it is equivalent and later said spin-2 is not sufficient to produce GR. Then your statements conflict. Try to be consistent in descriptions especially when dealing with such complicated subject. Thanks.