What you would you'll probably find is that the requirements for all of the different parts are over engineered with safety margins.
- The breaker is likely able to deal with conditions well beyond it's rating.
- The wiring in the wall likely has a safety margin beyond it's rating.
- The wiring in the wall likely has a bunch of nuance around it beyond just the size but also related to the insulation itself.
- The receptacle may be the weakest point for it's overengineering. Since it may not have contemplated many insert and removals in it's design at all, which could weaken the rest.
- The 80% continuous rule likely has an extra safety margin as part of the rule.
Taking all of that into consideration, someone could run a system well into those extra safety margins and be just fine without crossing an actual threshold and burning something down. They could also get unlucky and run it a little too far into that extra margin to spectacular conclusion.
Beyond the breaker, and that it's hard wired not using a receptacle, nobody likely knows any of the wire nuance in this specific install. Maybe it's fine, maybe it matches the undersized breaker.
If it was my house and I was sleeping right next to it, I would prefer to have the extra safety margins built into each of the components provided by following the appropriate guidelines. For others, that's up to them. For the insurance company that determines something was hooked up against the guidelines encroaching on that safety margin and was the cause of destruction, they may choose not to cover the loss.
Meaning "can you do it" and "should you do it" are two very different questions.
For instance, can you hook up a 1600W space heater and run it for hours on a 15 amp circuit. However, how often do we hear about house fires started by space heaters? Probably wouldn't stop any of use from running one for a little while anyway. I know that I have personally run a space heater, on low not the full wattage, for hours and hours in the winter inside of an outdoor hot tube enclosure because the hot tub heater was broken. A probably questionable use of electricity.