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No, you're still wrong.
First, you calculated it wrong because you're not actually reading the material. The 10dB per order of magnitude only applies below the critical threshold, which is 200ms to 300ms, not 1 second.
Second, permissible noise exposure is inversely related to the time of noise exposure. Even NIOSH and the CDC say that for every 3dB SPL increase over 85dB your permissible exposure time is cut in half. 112dB is 1 minute, 115dB is 30 seconds, etc. And that's the super-conservative CDC/NIOSH guidelines. Now obviously that isn't perfectly linear all the way down, but it still conveys the message that the actual concern here is the amount of total energy delivered to the ear.
Finally, I'm going to turn the tables on you and use pedantry to my advantage for a change to end this argument once and for all. Let's suppose you are correct, and that I can generate a sufficiently short and loud impulse and send it to your eardrums. And let's suppose that this pulse has sufficient energy to destroy your eardrum!
If you were hit with such a powerful pulse that did damage your body in some way, would you not perceive that? Surely you would hear something as your ear fails due to all of that energy sent to it. Therefore, even infinitely short pulses with insane amounts of energy are perceptible. And the failure of your ear due to a huge energy spike is going to produce some sort of vibration somewhere in your ear. Therefore, we can even say that it's audible.
