Should someone be able to be charged with “resisting arrest” if other charges against them are dropped?

For example:

Should the resistance charge be automatically dropped if someone is arrested for possessing a controlled substance and then the possession charge be dropped as well?

I have heard arguments on both sides of the issue: some believe that dropping a criminal charge makes the arrest of that charge automatically illegal; others contend that police authority should be respected whether it is being used unjustly.

This is a tricky legal issue. Resisting arrest can still be charged even if the original charges are dropped. The rationale is that the act of resisting is separate from the legality of the initial arrest.