Earlier quoted context omitted.
There is no global standard of definitions, what you might be seeing is the difference in the educational system in different parts of the world. We know definitions change over time because slang words come and go and someone's vocabulary can be used to identify people online or identify their knowledge.
Whatever, but if someone of the "Distinction Criteria is existence of MMU" crowd comes and claims the 8086 is not a microprocessor, because it doesn't have an MMU (which would be a logical conclusion from the article). i'll probably not be respectful.
Obviously this wasn't always the case, e.g. a good 15+ years ago I put ucLinux on an old ISP router I had lying around for fun, and it was an ARM946 without an MMU. But that class of device no longer exists today for all practical purposes, and so it's easy to use the existence of an MMU to decide what to call them.
The 8086 may have been a microprocessor, and so was the 80186, but you know where you find 80186 cores today? Microcontrollers. Specifically, some video processing chip manufacturers (e.g. stuff that goes into monitors and DP-HDMI adapters) seem to like using V186 cores still.