I am a lazy _ _ _ _ _ _ _ _ _ _ _ _ _ _ that claims to do math but cannot understand what is the video, therefore I will post this.
The video communicates his point.
Why would he feel the need to "condense," what he wants to communicate for the benefit of someone exhibiting such laziness?
Either watch the vid or don't.
Possibly "The video communicates his point" but he does take a long, long time to say that:
(1) He does not understand how aircraft Attitude Indicators work and
(2) He understands nothing about bearing friction and how it prevents cheapy gyroscopes like his from showing the earth's rotation.
You might read a bit from someone who knows what they are talking about:
High-Accuracy Ring Laser Gyroscopes: Earth Rotation Rate and Relativistic Effects.
Here is a "Ring Laser Gyroscope" that will certainly measure the earth's rotation, but if you don't have a Bill Gates budget, forget it!
Honeywell, GG1320AN Digital Ring Laser Gyroscope
This one has a "drift" that would do very well: Angular Random Walk (ARW) 0.0035 deg/hour (typical).
Angular Random Walk means that in the absence of any movement, after an hour it will typically show 0.0035°.
But this gyro is a bit up-market for Rob Durham! This sort of ring-laser Gyro is intended for aircraft inertial navigation systems.
But, the point is that there are ring laser gyroscopes that far more stable than needed to measure the Earth's rotation.
Tell Rob Durham and Geranium (or whatever) to take their toys and go home.
Hey I love that your working to disprove these guys but a few things.
1) That is not an attitude indicator. It is a Directional Gyro, or Heading Indicator. It does not show what your Attitude is it shows you what your direction or heading is.
2) in small GA aircraft, the directional gyro must be Reset according to the magnetic compass to account for the rotation of earth, friction, and leveling errors. Also aircraft movement will create drift either adding or subtracting from the drift caused by the rotation of the earth.
Honestly I have no idea how a real pilot could get around without knowing these things. The DG is usually Reset every ten to fifteen minutes during flight and is a common problem for new pilots to navigate.