You’re wrong in the way in which many people are wrong when they hear about a thing called “tail-call optimization”, which is why some people have been trying to get away from the term in favour of “proper tail calls” or something similar, at least as far as R5RS[1]:
> A Scheme implementation is properly tail-recursive if it supports an unbounded number of active tail calls.
The issue here is that, in every language that has a detailed enough specification, there is some provision saying that a program that makes an unbounded number of nested calls at runtime is not legal. Support for proper tail calls means that tail calls (a well-defined subgrammar of the language) do not ever count as nested, which expands the set of legal programs. That’s a language feature, not (merely) a compiler feature.
[1] https://standards.scheme.org/corrected-r5rs/r5rs-Z-H-6.html#...
I sort of see what you are getting at but I am still a bit confused:
If I have a program that based on the input given to it runs some number of recursions of a function and two compilers of the language, can I compile the program using both of them if compiler A has PTC and compiler B does not no matter what the actual program is? As in, is the only difference that you won’t get a runtime error if you exceed the max stack size?
Thank you for the precise answer.
I still think that the language property (or requirement, or behavior as seen by within the language itself) that we're talking about in this case is "unbounded nested calls" and that the language specs doesn't (shouldn't) assume that such property will be satisfied in a specific way, e.g. switching the call to a branch, as TCO usually means.