Alex having followed your postings here I can't say you have swung me over to your gravity pressure hypothesis, however it is an interesting concept.
I see this duality between the 2 ideas of conventional garvity versus gravity pressure as being akin to the old "open the airlock onto empty space" thing, ie it is not considered scientifically correct to say that one has been sucked out into space (of course if one is not wearing some kind of space suit, or sealed in a protective box perhaps, one is not going to say much of anything except
oorrraaarrggghhhhhhhhhhh SPLAT ..... I'm digressing, however one would be expected to say that one was BLOWN out into space, not sucked out.
And yet there we have it - if it is incorect to say "sucked" then WHY do the words sucked, suction, etc, all appear as part of the English language, when at all times by definition they refer to exacly the same kind of pressure differential between 2 distinct "places" where some form of material is transiting from the higher pressure to the lower pressure area.
Perhaps in years ahead it will not be considered correct to say that one's crippled starship was dragged down into the gravity well of a star, but rather that the ship was pushed down into the star by the Evan's Pressure Wave.
Cheers!