Either of those types of pumps (rotary vane or gerator) should prime just fine, although the rotary vane pumps are susceptible to the vanes getting stuck in the retracted position (the gum issue that Gord mentioned.) Another type pump that's self priming is a flexible rotor pump similar to what would be used on an outboard motor for pumping cooling water. I don't know if they're suitable for fuel however, as I'm not sure whether the rubber rotor material is compatible with gas. From digging around a bit, it appears that Carter universal fuel pumps are mostly solenoid/piston style, with check valves, rather than rotary. Solenoid/piston pumps should self prime, but it's recommended they be installed below the top of the fuel tank.
