To distill what I read from Mr. Widman's doc, the recommendation is a diesel CI-4 class oil, and NOT a SN-class oil, be it a conventional oil or synthetic. There are some non-rated oils (such as Redline synthetic, which I use) which are suitable. Redline's oil also has a GL-4 gear rating. This is as of a year ago (June 2020.)
Mr. Widman is not the last and only word when it comes to oil, but his is the only Mini-specific oil treatise I've seen backed with science, analysis, and examples. If there were a similar document on the other side of the argument, I'd definitely revise my views. But quite literally, there is only anecdotal testimony.
The closest there is (that I have seen) is someone saying they put a synthetic oil it, something bad happened, and therefore the oil must be unsuitable for Minis. No oil analysis (which anyone can have done) and no analysis of the synchronizers or other failed hard parts (not very easy for people to have done.)
However, the fundamental issue here is the idea that "synthetics" are unfit for the Mini. Maybe people are confusing "SN" class oil with "synthetic." But to me it's obvious any compatibility issues are unrelated to "synthetic" or "non-synthetic" oil, it's some other aspect. Especially given that Rover itself recommended synthetic for the most powerful of their Minis.
Dave