Photography Online (UK Youtube channel) have just done an interesting piece on teleconverters in their latest episode. The teleconverter section starts at 16:58. The OM !00-400 mkii is featured at 27:15, but worth watching from the start for context. It's a good piece on teleconverters and an interesting conclusion for those considering buying a converter for their 100-400. These guys are serious photographers not 'Youtubers'.
Here's the link to the video if anyone is wondering...
They have the correct concept of comparing image detail with TCs vs the bare lens for the same target at the same distance. This is the way TCs are used.
Unfortunately, they use a poor research design. They have no control of possible changes in the variables that can affect resolution. A major problem is the possible effects of atmospheric distortion and light/shadow changes which can occur quickly in an uncontrolled environment with dependent variable images of little fine detail.
Repeat this type of test in doors, with a completely controlled very detailed target using multiple exposures and picking the best of each and you would have more definitive results. I used my computer monitor as the targets and subpixels for very fine detail from 41 feet when I compared the 300mm f4 vs the two TCs.
I do think they are correct that TC work best with very sharp lenses that potentially out resolve the specific sensor. Both TCs result in better images with the 300mm f4 on the 20MP EM1 and OM1 sensors. I will be interested in seeing if the same is true with the 50-200 f2.8.