I too am a linguist type in a way.
Although for me it's mostly reading and writing that comes quickly, then spoken language. For me being able to absorb and emulate/repeat language has always been a strong skill but an entirely unconscious one, with genuine comprehension lagging behind by anything up to a few years. (It was always really difficult for me when teachers expected me to explain grammatical concepts because I had almost flawless German grammar as a kid but even the worst students in class grasped the connection and meaning of these concepts in connection to the language better than I ever did!)
This also applies strongly to programming languages (moreso since they are written and not spoken) and has so far - I am 28 now - not shown any signs of abating (as innate language acquisition in NTs is supposed to in early childhood).
It also extends to other concepts to a certain degree although with things like maths there needs to be a certain level of conscious processing going on fairly early on and if comprehension is delayed as it often is for me, then learning through a kind of echolalia doesn't work too well.
However I can learn these things by rote, I just tend to forget them again fairly quickly or rather I easily become unable to access this information consciously once the period of focusing on the subject has passed. (I have been told I have issues with communication between the two hemispheres of my brain, but I have never been given the opportunity to have this examined properly)
My problem with learning anything the "usual" way is that I cannot really consciously sit down and learn something in a structured 'step by step' way. I pick out what I need (the Internet is a great resource for cut and paste knowledge) and patch it together to express what I want, and over time I become fluent enough to write without consulting reference sites or code (in the case of programming languages).
Thankfully I got away with this for a very long time (it had never really crossed my mind that you had to pay attention to the teacher in class, I usually read ahead, tried things out for myself etc. but did so quietly so that I didn't get told off as often as many other people on the Spectrum have been in school).
I didn't know other people learned differently until I was in high school, by which point
I have also become penpals with a young woman back in Switzerland who is a very strong linguist (she speaks about a dozen languages an is mostly interested in Nordic languages - although I have to stress that contrary to popular belief, Switzerland is *not* a Nordic country

) and she definitely has a more 'technical' ability with languages.
I also know a woman with AS who is a professor of linguistics (among other things) and speaks many languages very well, although I believe her skills are less "technical" and more similar to mine (e.g. they are practical in that she absorbs the ability to speak the language quickly, rather than having to learn it the usual way).
So yes you're not alone but I find that even though language is meant to be 'worse' for people with autism, that my way of acquiring skills and in particular languages is something I encounter far more in the writings of/about autistics than in writings of/about Aspies.
That self-aware, conscious and mathematical-analytical kind of mental state that you find in many such books (the strongest example for me is Liane Holliday Willey, she strikes me as so sharply self aware I cannot read her writing without experiencing her as a live wire throwing electric sparks in all directions) is just rather foreign to me.