The original mom from the Christmas story, as seen in the movie, is a typical mom of that era. Melinda Dillon's performance as her is memorable. She is constantly looking after her family. Whether it's making sure Ralphie is warm enough in the cold winter or trying to keep the peace when things get a bit rowdy in the house. She has a nurturing side, but also shows a bit of firmness when necessary, like when Ralphie gets into some minor trouble.
Well, it could be argued either way. Sometimes, even with the same character, there can be nuances in the performance or the way the story is presented that might make it feel different. So, it's not a straightforward yes or no.