In scuba diving there used to be "J-valves". When you had 50 bar left in the tank they would cut out. Then you would pull to reenable your air and return to the surface. Unsurprisingly they are no longer popular.
It's not that straightforward IMO. Would this file be deleted before the space is filled? If so, there is alerting in place, and it assumes there's a way to delete files before space fills up. If this file is deleted after space fills up, how is this different from not having the file, other than making finding files to delete easier? Then what happens after that? If you delete the file and realize there's nothing else to delete, you'd have to solve the problem the same way if you didn't use this method.
What if the solution required some amount of free space? (eg. installing a package or swap)
Don't think I've ever encountered a critical issue where "add more swap" would be a serious disaster recovery solution. I've certainly seen situations where swap was nearing 100% full, and although I would have minutes off wall-clock time to formulate a strategy, those minutes have never allowed me to input more than a handful of characters or so.
It's the same as old VW beetles which had a reserve gas tank. When you ran out of gas you opened a valve and you could limp to a gas station. Less likely to fail versus a 1950's era gauge that is telling you you're low. Also impossible to ignore it.