If you need a C programmer, get a C programmer. If you need a C++ programmer, get a C++ programmer. When people start asking about c/c++ programmers, it shows they are stuck in the distant past and have no idea what they are really talking about. They are the kind of places where once you get laid off, you will have a very difficult job finding a new job, like the doctor who hasn't updated his skills in 30 years
In my experience with interviews, the worst team leads and HR drones, IMO, were the ones with a very specific list of criteria that were used to identify engineers: have you used X language, Y compiler, Z API, W methodology, etc.? The interviewers tend to be pretty shaky with the details of each of things themselves. They ask a few easy technical questions to check if you know the syntax and then a bunch of generic interview stuff like, "What's the biggest problem you've overcome?", and that's it. The interview lasts around an hour or two.
The better companies, IMO, usually start out with, "What's your strongest language?", and then ask several actual programming questions where they let you use that language. The questions usually let you demonstrate how much you know or don't know about computer science: algorithm analysis, data structures, dynamic programming, recursion, etc. The softer questions are more along the lines of "How would you debug this?" or "How would you design this?" The interview lasts all day.
For the first type of interview, yes, they better ask for C++ programmers if that's what they need, because they probably can't teach it very well or identify who can learn it by themselves.
I'm guessing that Nintendo is somewhere between those two experiences, where they probably do know what they're doing for the most part. Maybe they don't want to try to figure out whether someone who comes in as a Python programmer is ready to do low-level C programming, but they're fairly certain they can convert a good C++ programmer to C or vice-versa.