Narrator:
I kinda preferred 3e with its half points and dialectical defaults but this is where we are.
In fact, the best game languages system I've seen is the one in Hero System 5th Edition (superseded by 6th edition a couple years ago). It has support for "similar" languages and a pretty large example chart of the languages of real Earth, showing how knowing (for instance) Spanish makes Latin easier to learn or understand, or knowing Portuguese effectively includes understanding Spanish.
I'd have to agree, knowing so many languages at even Broken level, unless you're an actual academic linguist, would seem to imply some level of Language Talent. Don't forget talents are leveled and like any other Trait can include limitations such as "Only useful up to Accented level: -50%".
For what constitutes Broken vs. Accented for GURPS 4e and derived systems (like DFRPG), I'd go with a vocabulary definition: if your vocabulary is such that you seldom misunderstand or are misunderstood due to not knowing the correct word, you're Accented. If misunderstanding due to vocabulary limits is common, you're Broken. My high school Spanish never quite got to Broken; I had (almost fifty years ago) a vocabulary of a few hundred words, not quite enough to carry on a simple conversation without artificial subject matter limits. My best friend at the time, by contrast, had studied Spanish all four years he'd attended that high school, and would then have been considered Native in written Spanish, and Accented in spoken (even I could hear his western American accent in his spoken Spanish), despite a very fluent vocabulary. His Spanish was better, aside from accent, than the Spanish teacher we had during my one year there.