For the reasons given in {net information loss), I see no advantage to your script over:

my @modules = get_module_list();
foreach my $module ( @modules ) {
    require $module;
}
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Except that you might discover more than one missing/corrupted module. But, and a very significant one IMO, is that you sould lose the information that told you why the (first) module failed to load. Eg.

• Module missing:

  Can't locate Non/Existant.pm in @INC (@INC contains: C:/Perl/lib C:/Pe
  +rl/site/lib .) at
  BEGIN failed--compilation aborted at -e line 1.
  [download]

• Compilation error:

  syntax error at Existant.pm line 2, near ") {"
  Compilation failed in require at -e line 1.
  BEGIN failed--compilation aborted at -e line 1.
  [download]

• Other(s)?