Todd,
Yes, he did check the fluid level without the engine running, and I know most vehicles require that the engine be running to get an accurate reading. Perhaps he did that only so the engine noise would not interfer with sound on the recording. He probably should have said to check the level as prescribed in your owners manual and add fluid as necessary.
And Yes, again...some vehicles require increasing the engine speed to about 1500-2000 rpm to get the fluid to pump out of the transmission. The Sport Trac is one that requires an increased RPM before the transmission pump can push the fluid out but it does not have to be in gear. I think the only transmissions that require the transmission to be in gear to pump are those with a rear pump (driven off the output shaft) and I do not know of any rear pump transmission used in over 40 years?? I noted that the engine on the Honda was running much faster than idle, but he did not mention it.
Overall I think it was a good video for a homemade production, even thought he did fail to mention a few points that should have been discussed.
...Rich