A couple of things come up.......One is oil vapor recirculating through the PCV, which, in a DI engine, can cause deposits on the intake valves. Not so much an issue with port injection, since the solvent properties of the fuel tend to keep these deposits under control. NOAK comes into play, in avoiding these vapors as much as possible.
Second is fuel contamination of the oil. DI can tend to allow fuel to get past the rings and dilute the oil. This is something that the engine type does to the oil, not the other way around. Since dilution lowers viscosity, it is a consideration for choice of oil.