Paragraph 1: I speak of a sorting method which splits the filename at the boundaries between numbers and non-numbers, and sorts by the parts of the resulting tuple, the numbers naturally (10 comes after 2) and the rest by numerical char code.

Paragraph 2: I am not sure what you mean here with writing a script. The graphical file manager shall sort its file list using the sorting function I hand over to it.

"That's not really what a graphical file manager is for". Says who? Every software which has a plugin system does that, why should a file manager not?