The integration points are types whose egos have beliefs which would balance your ego, or broaden it so it's less restrictive (ie. a narrow identity is someone who goes around saying "I can't do X because I am Y" or "That's just who I am!"), and then you become healthier because positive, productive thinking & behavior is no longer rejected because it's "not you". For the 4, the integration is 1, a type who puts aside personal feelings & preoccupation with individuality in favor of being a noble, moral force in the world. You can see how this balances the 4's ego & feelings of shame & envy.
However the wing really just "colors" your type. It adds a dimension to your ego that you could say supports it more than broadens it. As far as influence on personality, the wing could be compared to your aux function in MBTI, but in terms of balance or broadening, it's less of a force. For the 4, the 5 wing adds a dimension of feeling ill equipped to deal with the demands of the world & the 3 wing adds a dimension of feeling worthless if not accomplishing whatever the 3 sees value in. This adds to shame & envy.