[He is still a little embarrassed about the whole sensei thing. If anything Gaius should be his senpai since they're so close in age... Just something about Gaius makes him think of a teacher? Maybe it's because he's tall? Or his general outlook on how he sees things.

Because here he is still helping Izuku and with horseback riding of all things. Izuku smiles when he sees them, a little awed that he's going to get the chance to ride a real horse for the first time in his life! But he's a little nervous too. They're big and those hooves look lethal if they need to be...]

... I- I know the basics about horses. They're used for riding, transportation, sometimes farmwork... They eat hay? Things like that? But about riding one... Not a lot at all.