I'm former military also, so I know where you are coming from.

Any flight employer is going to ask to see your logbook. The purpose is to ensure you do have the flight time and type required. Your flight record print out certainly fulfills this requirement. But if they aren't familiar with the format, it is going to be harder for them to evaluate it. And anything you can do to make it easier for the interviewer to determine that you are the applicant they need is going to be to your advantage. To that end, I would personally recommend transfering your flight records to a logbook, either paper or electronic (which you would, of course, print out.) I realize this can take a while. (I had 12 years and 3200+ hours to transfer after I separated.) But longrun I think it will pay off.