I've used perl a lot at work, but I did not get hired because of it, so while I can't say much about this, here's an opinion: there are modules I really like, and there are some that I've tried and abandoned because I consider them dunder-headed. I also hate programming in ways that I consider misguided and have refused to do so before even if it meant having to resign from the project. That said, I'd use the "modules required" as a hint about whether or not I'm actually going to enjoy this job or if I will be grinding my teeth and cursing my misfortunes.

Also, it should not take you that long to get a decent grasp of most modules simply by going thru the CPAN docs and playing around for an afternoon, or a day or so. At that point, you should be able to legitimately express some familiarity with it, and be reasonably comfortable dealing with applications that make use of it. So if you see a job you like that requires such familiarity, why not try it out?