I cannot imagine that the physics is uniquely different between the various seals used and the various engines on a sailing boat.
While sailing there is little or no activity in the shaft log. You are not spinning the shaft fast enough to cause cavitation. If the hose is open to the air the water level in the hose may move some down as the fluid seeks a level status with the water outside the boat. But then as the boat settles any bubbles escape and there is again equilibrium with the water in the hose equal to the water level out side the hull. That is why the hose needs to be vertical and the end at least 12” above to water level outside the hull, open to the air.
When installed (tapped to say the HE) the engine off sailing, the fluid is in a trapped closed state. No fluid moving. The prop shaft spins slowly again no cavitation. Perhaps if in a storm high seas condition you go over a wave top and the stern goes into the air for some seconds and the water-in the shaft log drains, as soon as you start the engine the water in the shaft log is pressurized out of the HE clearing all bubbles from the shaft seal.
Your worst condition will be with the engine in reverse trying to get off a sand bar. Then you will be stirring the sea bed and the rotation of the prop/shaft could suck up gritty water into the shaft log.Then the positive pressure water injection into an around the shaft seal will be helpful.
that is exactly why I burp mine each time to go out and come back…hard reverse could blow some air back into the shaft log, or large seas could (maybe) let air into the log (but I don’t know how big of a wave that would be

).
On my boat, my engine intake water thru-hull is in the engine bilge, and since I always close the thru-hull when not on the boat, it is really quick and easy to give the VP seal a little squeeze when I am opening or closing the thru-hull. I will say I never get much air out, so I think the seal has plenty of water. I also have checked the temperature of the seal and shaft when motoring, and very cool.
In the end, to each his own. Some boats may not have an accessible shaft log, and in that case, I may want something with an air vent of some kind. Water injection seems totally unnecessary on most boats with an open shaft log.
Time to go sailing!
Greg