Content Taxonomy view argument for all

I have a node with several CT fields, none of which is saving additionaly to the term_node table. If I display the field as link, the linked view (taxonomy/term default emulation) will show up empty, as expected. I then clone the default view, and replace the Taxonomy argument with a CT field argument: it works, but it is limited to a single CT field... I would like to have a view that takes one argument from ANY Content Taxonomy field, is that feasible?