... But if there is a professional in the water with you, one of his responsibilities is to make sure you keep track of your gas,
Absolutely untrue. You can't do it! For certified divers it is the *diver's" responsibility to keep track of their own gas supply. As an instructor I
do keep track of my divers' gas supplies, but the *responsibility* rests with the diver. As a practical matter I get an air check after drills & before the "tour" part of any training dive, regardless of the training level - and I hope that the instructor in this case did that, or, if he didn't, has learned that he needs to be doing that in the future - but even given a good check there are many ways a diver can lose or use enough gas to require independent action... for example, in this case, was the OP an air hog, or did an undetected octopus freeflow exhaust his air supply unexpectedly? If so, there is no way an instructor is going to be able to see that under the conditions described.
And I will add this: just when you think you've seen the biggest air-hog in existence and base your air-check pattern on that, you'll run into someone whose consumption rate is double the worst you've ever seen before and it will absolutely astonish you
Bottom line: Because no one else can do it at all times, as a certified diver, keeping track of your own air supply is *your* responsibility and no one else's. Good buddies and dive leaders do keep track of your air supply too, to the extent possible and reasonable, but the
responsibility rests with you... it is not shared.
As for the instructor's responsibility w/r/t monitoring gas supply: It is the instructor's responsibility to tell you to monitor your gas supply (why, how, when, where), but he cannot "make sure" you do it. He can make sure you
appear to be doing it (the OP looked at his console and depth, eh?) but the instructor cannot "make sure you keep track of your gas" - and because he cannot do it, it cannot be one of his responsibilities. It
is the instructor's responsibility, if you fail gas management, to deny you the C-Card you'd otherwise get.
Bear in mind, however, that barring actually checking a student's air supply against what the student says his air supply is, it is quite possible for students to make it through the typical AOW course without ever actually reading their SPG. They can "go through the motions" and appear to be doing it, but that's no assurance they actually are! I check what's actually on the gauge against what the student says is there... as an instructor you'd be surprised at how often they don't match.
Rick