I don't think the intent of EI is really to be a runners up to chairman's, because back in 2006, the championship had both chairman's honorable mention and EI (
http://www.thebluealliance.com/event/2006cmp). It does seem that it ends up as second place chairman's a lot of the time though. As for record numbers,
http://www.thebluealliance.com/insights has some of them.