My PICus time is exactly that - logged where I've not had a decision overruled by the PIC, checked the load sheet, ordered the fuel, started the engines and even taxied thanks to dual tillers.
Not familiar with the Acronym "PICUS" but co-pilot time spent with a captain who isn't micro-managing you is just that: Co-pilot time.
It's an either/or situation; Either you *are* the PIC, or you are not. If you are not the PIC, trying to spin it so that you're claiming to be almost the PIC will play poorly with a lot of people.