It's good you recognize it as a somewhat weak resume statement about leadership. As one who reads a lot of resumes, fuzzy statements like that can lower my opinion of the candidate, especially if they have some years of experience under their belt. You should revise your resume and send it again to the company(s) with the explanation that you want them to have the most recent update to your resume (don't highlight what you changed).
But remember, you have no control over where your resumes get sent, and when, so be prepared for that phrase to show up. If it does, and they ask you about it, be prepared with a response of what "other criteria" was intended to imply. A good response will erase any doubts they may have about that phrase and what it might have implied.