One of my old coworkers said he could just move his jaw around and the tubes would stay open, joking that he could descend to 60 ft in 1 minute. Is that voluntary tubal opening?
That is the second case I cited, people who open the tubes voluntarily, without the need of closing their nostrils, but associating the usage of the specific muscles to some other voluntary action (swallowing, moving the jaw, yawning, etc.).
True BTV does not require those parasitic actions, you just open the tubes acting directly on the specific muscles. But I understand that for people who cannot control them voluntarily, this appears almost impossible.
However, do not focus too much on BTV. That works for me, but not necessarily for you. There are at least other 4 or 5 techniques to test, excluding Valsalva, which in your case did already show to work poorly.
Regarding the speed for descending; at the open-water exam for becoming a 3-stars CMAS instructor, one of the tests I had to pass was the following "free diving" test:
- grab from the boat a 15 kg weight and swim to a depth of 15 meters in less than 10 seconds. Then leave the weight on the bottom (it was secured to a rope) and ascend to surface in less than other 20 s. The descent is very fast, thanks to the weight. Of course you need to equalize very efficiently for being able to descend so quickly.
One of the candidates at the exam did break one of his tympanic membranes attempting this test, and was of course rejected. Another candidate also had problem equalizing so fast, but she did not insist attempting to pass the exercise to the point of causing damage to her tympanic membranes, so she was not rejected, but invited to come back after one week for repeating the exam, after solving her equalization problems.
My girlfriend was also being examined the same day, and she had always equalization problems. For passing the exam, she had to resort to the most effective technique, which is Frenzel-Fattah (mouthfill) a technique which is usable only while freediving (the mouth cannot hold a mouthpiece while doing the mouthfill). So she passed the exam using that trick (which most other candidates did not know about).
Most instructors are not aware of these advanced techniques...
I am not really an expert of them. My girlfriend (now my wife) was the real expert, as she had initially severe equalization problems, so she had to consult a number of ENTs; she even evaluated tube dilation surgery, and finally solved her problems learning to use Frenzel (for freediving), Frenzel-Fattah (for quick free diving, as in the example above) and Marcante-Odaglia (for scuba diving, Frenzel and Frenzel-Fattah require the mouth to be closed, so they are not usable when scuba diving, or better, they can be used, but they require to remove the regulator from your mouth while equalizing, which is unpractical, as the other hand is already being used for closing the nostrils).
My girlfriend was totally unable to use BTV...