There is definitely a setting to allow each snip to open in a multiple window:
That Microsoft article you posted is from 2010 and does not apply to the new snipping tool.
If I turn off start 11 on the taskbar, the snipping tool works as expected. However, that's not the point - when using "Never combine" in sTart11, each snipping window gets "eaten" by start11. Are you able to replicate the issue?
I'm using Start11 Version 1.41, here's the windows version I'm using:
In fact, to get these screen shots I kept facing the same issue. Each window doesn't show up as separate on the task bar. Screen shots to demonstrate (which were difficult to obtain due to the issue):
There are multiple snips taken... but where is each one on the task bar?
Proof that there are multiple snips, but each snip windows is NOT showing on the task bar - it should be, just like any other application.