Since you've seen the video, let's go back to your OP and see how we can tie it to your questions...
The thicker the air the harder it is for the body to 'process' and if working too hard the body will be making more co2 and will not be able to replace it with 02 fast enough leading to slow suffocation. If my understanding is completely off please correct me and let me know.
* The thicker the air, the harder it is to move. It's not harder to "process," except perhaps for rebreather divers who may see channeling in their CO2 absorber and other phenomena. CO2 is very diffusible, and the body can generally absorb it and release it if it is delivered to the lungs. The problem is that
a) in some divers, they are unable to breathe
out well enough at the alveolar level due to small airways collapse, and
b) some divers are not triggered to breathe harder as CO2 rises, even if they could. This is the key takeaway from Dr. Mitchell's video, because these divers don't know in advance that they may be non-responders to elevated CO2.
* It's not a function of suffocation. There are plenty of oxygen molecules at depth. 21% O2 at 5ata is the same number of molecules as 100% oxygen at the surface.
Instead, they problem is a direct toxicity of carbon dioxide itself.
* Finally, effort indeed plays a key role, as elevated
production of carbon dioxide in the face of the other two factors above may lead to a fatal blood carbon dioxide level.