Wow, what a great find Michael. I missed this post somehow. It is the first time I have seen this pattern and your attribution is excellent. I cannot add more really. I think it could be either factory too.
Translating all the words in the Skrdlovice pattern books may help.
There seems to be a weight indicator under one pattern 2KG? That may help, although I have a Velsikova CMS BMG vase with an acid etch, with a flat polished base, the Skrdlovice bag vase that appears in the Skrdlovice 1945 patterns, and it is a lot heavier than I would expect for Skrdlovice. I suspect if CMS made your vase it too could be heavy, so that may not help.
I would expect a CMS vase to be stamped. (Against that, the link to the Austrian stamped vase you have found is confusing as it looks a very close match indeed......) Also, your CMS bowl did not have a CMS Reich stamp stamp did it?
It all adds up to your conclusion, definitely Veliskova, by either factory at this point. Sorry not to be more helpful... a very nice thing though!!