Then, with respect, I'd suggest you might want to chat with your family MD, and get an ECG. Seriously.
If you do VO2max tests on people, and they get their heart rate up to 200/min, and then pass out, this makes some sort of sense. But becoming unconscious and bradycardic to 35/min, bradypneic, as described by OP, quite possible after having some sort of seizure episode (Stoke-Adams syndrome anyone?), is not a normal response to moderate exercise.
Then you have something else happening. Maybe you're sick, maybe there's an electrolyte issue, maybe you've just discovered some cardiac pathology, and the exertion is unmasking all of this. But this is not a normal response to exercise.
The body is adept at preventing us from overexerting ourselves. We maintain normal pH and PCO2 until we reach our lactate threshold, and even for a fair while beyond. Even with maximal exercise normally healthy people don't even approach the beginning of cardiac ischemia, despite cardiac output being the limiting factor.
People shouldn't just pass out because they're exercising. When this occurs it's because of something else. It should be taken seriously, it should be evaluated, and doing otherwise is lazy and incompetent. There is something else happening here, ranging from the benign anxiety syndrome precipitated by getting a mild sense of dyspnea while exercise to something more severe.
Those probably were, but dude, you should go talk to your doctor. Are you sure you don't have a high risk ECG?
Only in that exertional states can unmask underlying pathology. The healthy human body doesn't decide to throw you unconscious and desaturate you because you played a little broomball. This is not normal physiology.