Generally humans don't class each other as pets unless they're into certain subcultures, I would say he's more of a companion.
I understand it's a bit of a weird thing for you to come to grips with, but some peoples' personalities aren't active like yours and they need a benefactor. Or a protector.
Oh no, it doesn't have anything to do with your work ethic. Considering he was willing to play along with Rise-chan's ideas about promotion, I don't think it's fair for either of us to doubt his work ethic.
Besides, Killua, I don't have any gym badges at all, you don't think I'm lazy do you?
I don't doubt his work ethic, it was more a surprise that he just stopped at the first one. He just wanted the badge to learn FLY, but didn't decide to go after the gym that gets you the HM.
[He actually wasn't being mean in this case, just weirdly logical.]
You don't do much traveling ,so I didn't surprise me that you didn't go after badges since that's all they normally good for.
That's all right, I've had over 700 years of practice with goodbyes and "see you laters." Just be sure to keep me up to speed on where you are so I can send care packages!