it really depends on how the catch has a mechanical effect on things. For toughness powers, the catch allows attacks to bypass those powers, which is a tangible thing. Binding by reeds is not using a catch, it is compelling a high concept. Now, if having the catch in the proximity of the person always negates strength powers without a compel, I could see that as being a valid reason to give refresh benefits, but otherwise, don't use a catch, just handle weaknesses through compels.