Quines are defined as
A quine is a computer program which takes no input and produces a copy of its own source code as its only output.
Emphasis mine. Source. Also cited in the original question
Despite Pxem's unusual execution manner, filenames are not source code. Therefore, a valid submission to the quine challenge should be a program which accepts no input, and outputs the exact code in the file, regardless of the filename. Anything else is not a valid quine.
Also, in many languages, an empty file is also a quine: that isn't considered a legit quine either.
Meaning that at least one of your submissions is invalid.
If there is an interpreter, such as esolang-box where you can submit it as a single file which outputs its source code, this is valid per our rules that a language is defined by its implementation. esolang-box says:
The first line is the file name of the pxem code.
The rest is the content of the pxem code.
So, while being slightly "edge-case"-y, if a program like
when run on esolang-box, I'd consider this to be an acceptable quine.