These limitations have nothing to do with the aircraft, it is a minima question.
ILS minima require ILS equipment on the ground, so yes, whatever AP/FD functionality you use, the minima remain the standard minima for a CAT I ILS as long as you have ILS indications somewhere on your flightdeck.
If you want to you use VNAV minima, VNAV has to be operational, selectable and active for the approach (RNP based on Baro-VNAV system or any "old" NPA with VNAV minima). If not no VNAV minima can be used as your FD will not give you proper indications based on VNAV, LNAV-V/S minima are to be used.
Don't make life complicated. It's pure regulations. Just select the correct minima.