One thing is setting your logic to follow a certain way of thinking, and a completely different thing is the language you are using to think.
Furthermore, programming languages are written in English. A real language cannot be written in another language.
I'm not a linguist nor a programmer, but I'm trilingual, and I have scripted at a basic level. And honestly, although I see the resemblance, I don't think that programming languages and real languages work the same way.
I'm trilingual (Spanish,French,German) and program fluently in at least 3 languages (Python, Javascript, PHP).
Things in common: You build an idea in the air and shoot it in the language. Happens to me a lot in German where I don't have a vocabulary as wide as Spanish on English that the brain will have to build a sentence maybe 30% longer but it will eventually bring out something that does the job. When I'm coding I just know the program needs to do certain thing. Python is very straightforward while with PHP usually I need to build some auxiliary function (same as German , not that the word doesn't exist but I don't have it in my Head at the moment). Also, very obscure concepts like "Dativ" conjugation do exist in spanish but since it looks the same as "Genitiv" and "Akkusativ" , nobody pays to much attention. However when you are speaking German you'd better understand that as you need them to correctly build a sentence of the fly. An example analogy with coding would be generic data structures like arrays in PHP but in Python are more rich like Lists, Dictionaries and Tuples(IMHO)
Furthermore, programming languages are written in English. A real language cannot be written in another language.
I'm not a linguist nor a programmer, but I'm trilingual, and I have scripted at a basic level. And honestly, although I see the resemblance, I don't think that programming languages and real languages work the same way.