Some of the confusion is just semantics, and some of that is a holdover from tape days. From a digital audio perspective, Print = Export = Bounce = Freeze, and there are probably some other synonyms floating around as well. They all mean committing something to a fixed and finished product, whether it's the final product or an intermediate stage such as a frozen synth.
If you're not using a computer for recording, "print" means to write something to tape. It implies something is "done", because you can no longer separate its component parts once they're combined and saved. "Bouncing" only differs from "printing" in that a bounce is usually printing to another track on the same physical tape.
"Export" only came into existence with the digital era. Conceptually, it's the same thing as printing except the destination is a file on the disk drive instead of tape. Old-timers still call it "printing" out of habit.
What Graham is talking about is evaluating the finished product as a composite. It's a VERY good point. Your perception is quite different while you're in the DAW because you're thinking in terms of individual tracks and busses and you can easily lose sight of the full mix. Being able to see waveforms messes with your perception, too - there are no surprises when you watch the audio scroll by.
My technique is to export the full mix, convert it to an MP3 and copy it over to a portable player. Then I'll wait a day or two before giving it a critical listen. I'm always amazed at the flaws that become obvious when I listen away from the DAW. Lots of "what was I thinking?" moments ensue.