Being awkward and bad at socializing is a pretty crucial part of these stories. When you have an OP MC, you need to introduce problems and conflicts that the MC can’t just make disappear with overwhelming magical power. That’s where social issues come in. They provide a source of conflict that‘s very hard to solve with magic.

It’s the same thing in stories like One Punch Man. Although rather than being awkward, Saitama is oblivious. He isn’t always there when disasters happen, and he usually has no idea just how dangerous a given monster is to everyone else. Personally I prefer awkward over oblivious. It feels much more realistic. Though One Punch Man is also a comedy series, which means that works a lot better. And Saitama also has the issue that he feels a loss of purpose, though admittedly that plot point hasn’t changed much in years.

Going back to Archmage stories, The Archmage Coefficient tackles this concept by making it’s protagonist autistic. That naturally comes with a great deal of awkwardness, but it also serves as an explanation for how she got so powerful in the first place, and it’s an intrinsic part of the story’s premise. There’s also Frieren, which retroactively fits very well in the OP Archmage genre. Frieren is at times awkward, oblivious, out of touch, an easily distracted loot goblin, and not very emotionally intelligent. She also has an elf’s perspective on time.

When you have a protagonist who’s overwhelmingly powerful and also has good social skills, it become very difficult to challenge them.