However, if you demand rigour from the simulation then all sorts of corner cases arise that cause difficulty like the 1 hit point minion surviving a miss effect that causes more than one hit point of damage. The high level fighter falling off the cliff and walking away. The very concept that a housecat can kill a grown adult in the prime of their life and health.
The fighter surviving an improbable fall is an issue of realism vs believability, and has been well-covered in the first few pages of this thread. It is a "genre law" that is plausible under any system (simulationist or gamist) and I don't see it relating to this discussion.
The housecat killing a PC IS a great example, but it's a poor excuse to give up on RPG simulation. "Corner cases" have been around since 1st edition, and I accept them as a problem inherent, but they can easily be adjucated by the DM and are solvable -- anyway, when is the last time that a DM allowed a PC to be killed by a housecat?
I would strongly distinguish between corner cases (a side-effect of two separate rule mechanics coinciding and ACCIDENTALLY causing implausible situations in-game) vs gamist mechanics (core rules that DIRECTLY cause implausible situations in-game). The former is a simple accident, generally rare, and not a big deal in my experience. The latter is purposeful, systemic to the game, cannot be house-ruled away as easily without repercussions to other facets of gameplay, and is a big deal for many interested in immersion and simulation.