That "some reason" is that any damage at all, or leaving the inside of the barrier cancels out the knockback cancel on the barrier.
Also, theoretically, you can Zombie Hover over the barrier, but since you need to take damage to start a zombie hover, you would end up canceling out the knockback cancel as a result.
Currently, what would need to be done to pull off barrier skip, is taking damage to kill yourself, then canceling out the barrier with the Wind Waker at the same time as you Wind Waker dive, all at once before you die. This currently isn't possible, because in order to cancel out the barrier's knockback, you have to pull out the Wind Waker right as your invincibility frames end, and you die long before then.
As far as spending the invincibility frames somewhere goes, bringing up a regular text box can run them down. However, every text box you can bring up in the area lasts too long (even the Tingle Tuner) and completely misses the window you need to cancel out the barrier's knockback.
Of course, this is pretty irrelevant, as after the text box is gone, you still die immediately with no window for any actions. If you used the text box to dive off the ledge instead, you still die from the void and can't do anything about it, as text boxes don't halt your fall distance into a void like the Wind Waker does. So far only the Wind Waker is known to do that.
If you want testing to be easier, or want to test if Forest Water could help (though it'd be pretty sad if it required it, as then Light Arrow skip wouldn't be able to be done, forcing more item collection), I spliced some codes together a while back, figured I should share.
D-Pad Down for Forest Water on Bottle 1 (expires immediately)
0A3F5018 00000004
003CC57A 00000059
D-Pad Left for 1/4 Heart
0A3F5018 00000001
003CC533 00000001
D-Pad Right for 0 Hearts
0A3F5018 00000002
003CC533 00000000
