Good, you do know! Yes, that's exactly the case. I was just explaining to her what it means and I've been showing her how to work the pokedex and pokeball... but next I was going to introduce her to the basics of battling as Silver showed them to me.

[A beat]

...I figured I should offer for you to be around to see that if you wanted.

[To be honest, he doesn't sound hesitant except for that last part. He sounds excited. Excited to such a grand level that Ikki (the family of Katara) is now his protege in a world he now knows. Even if it's not his own, he's taken it as his own in the last almost-year. He can be someone's mentor]