Jordan: I have a few questions about these, if you don’t mind:
Are the views “brighter” compared to roughly equivalent binoculars? In your set-up in Post #1 the exit pupil is ~2.1mm. But since all light from a 50mm objective goes to each eye, does that make the image brighter?
It appears from your calculations that the 50mm binoculars have a focal length of 202mm. Is that correct?
What kind of glass is used in these? How is the CA on bright objects, etc.? Is it ED glass?
Thanks for any answers you can provide.
Always happy to talk about these 
I would suggest going to the thread on the Binoculars forum: https://www.cloudyni...iece-binocular/
That thread has more information but since you asked here...
I don't think "brighter" is the right word. The Nikon Astrolux 18x70 is definitely "brighter" but I attribute that to the bigger exit pupil. I do think the contrast is very very good on these. It manifests as them being very sharp as compared to other, similar binoculars. On doubles like STF 2276 or STF 2449 they outperform the Astrolux and match the APM 34x80 - a much bigger binocular despite the handicap of the smaller aperture.
Yes, the focal length is 200mm making them f/4.
According to: http://kasai-trading...llabino50e.html
They are "f/4 doublet achromat objective lenses". In practice the CA isn't very intrusive. Sure, looking at rooftops with a bright sky beyond shows some lateral CA but at a level that seems to be on par with very high quality binoculars that call themselves "APO". At night I have not seen a lot of CA. At least it doesn't seem to bother me. I did expect a f/4 achromat to be full of astigmatism and color but TBH, under the night sky and with the ES82 8.8mm this doesn't seem to be much of an issue. No, it's not an APO but I don't expect it to be and therefore it's not an issue. Makes you think if we are overly critical on our refractors... 
TL;DR; these are super fun and refreshing to use. They are not intended to compete with high end refractors or binocular telescopes but they are super light and perform way better than they have any right to.