Would you include other time if the company states on their webpage not to, even if you were the AC?

When I was applying, most companies did not accept Other time, as was stated on their Career websites -- and they probably still don't. The Other time problem has been around since the history of the USAF. It is not new and trust me, the HR folks know all about other time. Think of it this way, will your future employer consider the time you were in the back snoozing, taking a deuce, or making a sandwhich, PIC time? If you think they will, include it. Otherwise, be conservative and don't.

Trust me ... if you meet the minimums in flying time, which any military pilot should, you're good. It is all about networking and letters of recommendations.