I would like the filter menu to look a little bit like the viability graphics menu. You create the filter and what it is selecting and then apply all desired overrides. Then on each filter there is a view list. This would look like the “Selected views/sheets” menu in the print dialog. Check boxes at the bottom to show views and / or view templates. You then check a box for all of the views / view templates you want this filter to be applied to.
One stop shop if you ever change the filter it gets updated project wide rather than having to go to each view / view template and up date the overrides one by one.
It has been pointed out to me that you may still want individual (as they are now) in addition to global filter options.