He could be a mentor to some of the more physically - oriented heroes like Kirishima. Logan's no - nonsense attitude and combat experience would be valuable to Kirishima. Or he could have a rivalry with heroes who don't like his more violent approach, like All Might who is all about justice and protecting with a more 'pure' image.
Well, Logan's powers would likely be considered extremely powerful in the My Hero Academia universe. His healing factor would give him an edge in battles as he could recover from almost any injury quickly. The adamantium claws would be a formidable weapon. However, he might face some challenges as his powers are more 'brutal' compared to the typical flashy quirks in MHA. He could be seen as a bit of an outsider in the hero community at first.
I'm not sure which 'Logan' you specifically refer to. There could be many people named Logan. It could be a common name for an individual in a story, a character in a movie like 'Logan' where he is a mutant with a complex and tragic backstory involving his powers, his family, and his struggle in a world that often fears and hunts mutants. But without more context, it's hard to tell the full story.
Well, Deborah Logan isn't a completely true story. It's likely a blend of fictional elements and perhaps some loose ties to real-life situations or themes.