Whoa, Tom... "that is what I have been told" by WHOM?
Personally if you don't use the AC "medical decision maker", I see NO value to checking the complexity box. If you get audited, they want to look at the chart and yes, the level of complexity is part of assessing your level of coding. Why would you think that they would care about a stamp on each note that says "high complexity" when they make that determination? (As opposed to making their own assessment?)
