I don't know if she'll grow envious of Satoshi, but I don't like the idea of Gou becoming more like Satoshi. I enjoy the differences between them, so I'm not looking forward to Gou becoming Satoshi's expy over time.
I don't expect him them to go that far on it, besides they already kind of did that to an extent with May (who was influenced heavily by Ash's combat style) and look at where it got her when it came to contests...and it wasn't exactly fixed in her sinnoh cameo either.
it's not just this episode, look back at the one where they were leading kids in groups around, at the end Ash and Gou teamed up to send TR packing and Chloe's expression was one of confusion.
Think of it like this, we don't know if she has any other friends, but it's obvious she and gou were close when younger but he's slowly changing due to the influence of another person (in this case Ash), and it might get to a point where when Gou goes far beyond the person she knew all this time, it could trigger a reaction out of her, potentially one of negativity towards Ash, because like it or not he is responsible for starting the changes in Gou.
Because it may force her to change to feel like she's closer to Gou, but she really doesn't seem like she wants to change from how she is now, a "normal human" in the world of pokemon.