Vipe,
That pump has a bleed hole to prime itself when submerged. Those pumps truly aren't what you'd be able to call 'self priming'. If the water level is below the pump, then the pump would have to pull water to prime, they just won't do it and the impeller melts quicker'n you can say 'ouch'.
They had a choice when they designed the water pump system in boats - self prime and put it above the water level, or submersion prime and put it below the water level. Pretty much every drive manufacturer chose the submerged method as it instantly starts pumping, and lubricating the impeller, when the motor is started.
Self primed is a LOT harder to do since the pump needs the ability to survive running dry until it primes, which means it needs to be built out of something more durable than rubber. And something harder than rubber causes other problems if it fractures and send pieces of itself into the rest of the cooling system.
Submerged primed means that the pump CAN'T pull water and self prime because the bleed hole prevents the pump from pulling a vacuum in air.
Rick