One cent from me for the topic.
I did everything - attribute dropdown exluded, cache cleare, index rebuilded, search terms deleted (I cried when I did that) but nohting.
No error logs nothing.
And luckily one app Automatic Sale Category from MeanBee for installing and using said:
\\\’Please ensure that the \\\’Is Anchor\\\’ setting on the root category of each store is set to \\\’Yes\\\’\\\’
When I did that (and my root category is just for root - not visible hence there was not Yes in IsAnchor attribute) everything worked!!!