Gas movement in and out of the blood is an equilibrium mechanism. This is good and bad.
If you are in a high CO[sub]2[/sub] environment the blood can’t get rid of its CO[sub]2[/sub] load, and you get distressed quickly. Even higher concentration in the air and the levels in your blood can rise fast because you are taking it in, as well as generating it from normal body operation.
But low oxygen levels are really nasty. Once the partial pressure of oxygen drops below a critical level the oxygen level in the blood will drop to another critical point - a point where the exchange of oxygen from the blood into the living cells stops. This level is not zero (about 80% from memory). And it is approached rather precipitously. Even with some oxygen in the air, useful respiration will stop entirely. You will go unconscious within seconds.
Bird blood has a lower affinity for oxygen. I suspect that this critical concentration is directly related to the affinity, and thus birds reach the point of zero useful respiration at a higher oxygen partial pressure than humans.
The thing is, unlike CO or other atmospheric poisons, humans have pretty decent excessive CO[sub]2[/sub] detectors. So in the scenario in question of humans + dog walking down into a cave with too much CO[sub]2[/sub] there would be a gradient and they’d notice once when the CO[sub]2[/sub] had increased to uncomfortable levels as they walked. Uncomfortable levels are considerably below dangerous levels.
This doesn’t work in, say, a nitrogen atmosphere, where you can fall unconscious without noticing. Humans can’t naturally detect a lack of oxygen.
I think the point here is that with lots of CO[sub]2[/sub] in the air the problem ceases to be hypercapnia, with hypoxia becoming the dominant danger. You might become distressed with the high CO[sub]2[/sub] levels, but the very low oxygen levels are already about to kill you. There becomes a very fine line between realising you need to get out, and being unable to do so.
It was a “known” hazard of caving when I was a boy. Apparently, sometimes lower levels of caves fill up with higher levels of CO2 (possibly acidic rainwater in limestone caves contributes to the problem). We weren’t taught that people automtically recognised the nature of the problem and excaped: cometimes you are already doing heavy exertion while you’re scared breathless.