My 2 cents...
Most places can't afford to be too picky right now, however 2001 is a bit of a stretch. You might want to at least get a couple hours and review some OEI procedures and knowledge, and systems knowledge on the twin you flew the most just to be prepared in case you get asked at an interview. I would think you would have some explaining to do also if you haven't flown a twin in 6-7 years. Your times are good, just a recency issue like you said.