I can't think of anything to try this with right now but it's unlikely to work. Dynamically loaded modules use dlopen(3) to open libraries, whose Linux manpage says:

o   If, at the time that the program was started, the environment vari
+able
    LD_LIBRARY_PATH was defined to contain a colon-separated list of d
+irectories, then
    these are searched.
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Note the "at the time that the program was started" bit, which means the binary i.e. the Perl interpreter here.