This is unfortunately not a solution for selecting Style Variables for multiple crosstab intersections at the same time.
However, this is how I worked around the problem. I wanted to hide certain rows depending on some parameter value specifying the detail level of the report.
This could be accomplished by using boolean expressions in "Conditional Styles" instead. One of the conditional styles expressions could be string2int64(ParamDisplayValue('pDetailLevel'))>=1
This solution actually turned out be more robust and flexible than using style variables, and you can choose your selection of elements randomly.