I don't think virtual connections are the way to go here. That is for shorting disjoint nets of the same name instead of defining an equivalence.
Another way which can get past LVS is to add something like this:
LAYOUT RENAME TEXT "/VDD/vdd!/g" "/VSS/vss!/g"
However, calibre still doesn't seem to know what to do with inherited pins when creating the calibreview.
PEX NETLIST "svdb/my_inv_inh.cv" CALIBREVIEW
creates the calibreview netlist but there does not appear to be anything in the netlist indicating that some pins are inherited pins.