A Jew that is a m"chalel shabbos b'farhasia" (that they desecrate the Shabbos in public) could have a different status in regards to certain dinim -- for example handling wine that wasn't cooked and how it would affect the kashrus of it. Does this also apply to a katan (minor)? I'm asking in general could a katan have the status of a "m'chalel shabbos b'farhasia"? Although it might be difficult to find something where this would make a difference I still want to know in general if the din would apply, why or why not. Obviously we are speaking in the case of a katan who is already somewhat of a bar-das (intelligent) and is able to understand that they are not allowed to be m'challel Shabbos. (My original thought is that it should be asking in the case of a child who is 9 and above.)
The case of touching wine might not be such a good example of where we could say it makes a difference since I know the poskim say that a non-Jewish child can't make yain nesech (the particular case I saw was an Arab child which is perhaps better since they are not idol worshippers. Certainly then a Jewish child wouldn't be worse than this. However my question, like I said, is in general if they could even have the din of "m'chalel shabbos b'farhesia" applied to them.