Unless "Pat" is a CFI,MEI (respective to what you are flying), the hours don't count for anything. Putting them on an OCS application would be the equivilant of putting the hours you play a flightsim on the computer (not an FAA-FTD). I know it sucks not being able to count your time even though you are learning something...but that's just how the cookie crumbles. ... if you can convince "Pat" to get a CFI or MEI you'd be in business - of course technically speaking even that can be shady because the FAA usually wants to see the flight conducted for the sole purpose of training if it's logged as dual.