I have just tested this and it does not seem to make any difference.
Bummer.
The requested feature is unlikely to be implemented in Geany since it's very language specific and so would require teaching Geany's code about all of Perl's operators (oh lord!), and those of all other languages.
It might be plausible if you could come up with a specification/algorithm for the behaviour more generally in terms of "words" and "white space" and such, which are not language-specific.
For example:
If the caret is on a non-word, non-whitespace character, and the command is activated, it should jump to the start of the previous non-word, non-whitespace character which is not a comma or brace/bracket or a ...