What can be learned from, or noted in this LIGO Orrery video? The Ars Technica article Physicists detected gravitational waves from four new black-hole mergers notes that


  This brings the total number of events detected by LIGO and Virgo to 11.


It also has a link to the SXS Collaboration' YouTube video LIGO Orrery

SXS stands for Simulating eXtreme Spacetimes https://www.black-holes.org/ 


  The SXS project is a collaborative research effort involving multiple institutions. Our goal is the simulation of black holes and other extreme spacetimes to gain a better understanding of Relativity, and the physics of exotic objects in the distant cosmos.


so quite a substantial amount of math and physics went into this work.

But as an outsider I don't really understand what I'm looking at. The video's comments just say that the surface is the event horizon:


  Computer calculations modeling the gravitational waves LIGO has observed to date and the black holes that emitted the waves. The image shows the horizons of the black holes above the corresponding gravitational wave. 


Question: What does the color represent, could it be some kind of "temperature" or energy density of distorted space on the event horizon surface? Why can I see some evidence of rotation in the resulting merged object for a few rotations, then it disappears? What else (if anything) can be learned from this video?

Screen shot from the YouTube video LIGO Orrery:
The SXS consortium has a page linking  a number of their videos. From the text around the videos it seems they use colour to encode various different scalar quantities in different videos. For instance


  The colors encode the lapse function — the slowing of the rate of flow of time. 


And


  Colors indicate the vorticity of the apparent horizon


and


  with the color scale giving the density of matter within the star [this is a neutron star merger, not black holes]


Unfortunately, the LIGO gallery has not preserved this information (nor  the links to published papers where more details seem to be given) so it is hard to say in this specific case. Also simply understanding what many of these quantities are needs a fair level of differential geometry.

You asked:


  Why can I see some evidence of rotation in the resulting merged object for a few rotations, then it disappears?


Since we don't know what quantity is being depicted, it's a bit hard to be very precise, but there is an established concept of "ringdown". 

You may have heard the phrase "black holes have no hair" meaning that from outside everything about a (non-quantum) black hole is determined by its mass, spin and charge, with no details (the hair) remaining. This is not exactly true. What is true is that any "hair" a black hole has is quickly radiated away as gravitational waves so that it rapidly approaches the ideal state given by its mass, spin and charge. This phenomenon is called "ringdown" and is what you are in seeing in the first moments after the collision. It can be detected in the gravitational waves.