Can you provide a screenshot or workbook as I don't entirely understand the problem
I can't post a screenshot or workbook as we had to do a workaround with the underlying data, but I can demonstrate what happened.
The data was set up in Tableau like this:
DIMENSION A ALIAS
Company_Country_City1 Alias 1
Company_Country_City2 Alias 2
When I use a Quick Filter or Filter Action everything works just fine.
But when I want to use a Parameter, built on the DIMENSION A strings, put the Parameter in the appropriate shelf, and start toggling - what appears as the Dimensions in the viz are not the Aliases I've defined, but the Company_Country_City1 labels.
Does that clarify things at all?
If not, I can try and mock up some data to show.