The specific behavior you are describing is a feature of mod_perl rather than Catalyst itself. But you can of course run your Catalyst application under a mod_perl environment.
Under mod_perl there can only load shared library files once and it is not possible to have different versions. Aside from the saving of loading for multiple children this would actually work over different applications on the same server. So two different web applications using the mod_perl interpreter would actually share a loaded instance of a lirbrary that they both used.
For this reason, most people generally prefer to not use mod_perl as a means of serving their application, because they actually want to maintain different library versions per application. For the reasons described above this would not be possible in this environment.
But if that is something that you believe suits your needs, then mod_perl may be the environment for you.
Support for mod_perl with Catalyst is in a slight state of flux. The generally preferred method is to use the Plack::Handler methods to bootstrap Catalyst as a PSGI application to the mod_perl environment. There are some additional notes on configuration here.