At a glance, Minato doesn't seem that much different from any other of his alternate counterparts. He came back to Port Island after ten years since his parents died, got recruited into SEES and became the leader in battle.
Between trips into Tartarus and keeping up with his studies, he spend time with his friends and people who are his Social Links, fulfilling requests for Theodore...
Yes,
velvetbutler .
Instead of Elizabeth, Theodore, or Theo, is the assistant tending to Minato, and thus form a friendship with their guest. The more Minato fulfilled the requests and whenever Theo asks to 'hang out' and learn about the world, the closer they get over time.