Louis does not approve of making vampires himself, that’s for sure! But yes, Louis wanted to be with Armand and Armand didn’t want Claudia as part of that equation and she knew it. 

So, right, IDK what Louis was thinking about how it could possibly work out w/o making her a new adult vampire companion. He had little choice in that. He couldn’t bear to think of her out there on her own, she clearly wasn’t going to be invited to join the Theatre des Vampires, and she couldn’t make an adult vampire herself. There was a line in book!IWTV where she tells Louis: “ ‘Can you picture it?’ she said, so softly I scarcely heard. “A coven of children? That is all I could provide…” <– whether she could actually turn a child is not known. We don’t know of it happening successfully anywhere else in canon before or after that point. Louis probably would not have approved of that, either.

Worth noting here is that in the first version of IWTV, Claudia wasn’t killed off by the Parisian coven (from the Vampire Companion):

“In the first version of [IWTV], Claudia eventually goes off with three vampire brothers whom she meets in Paris. She does not die. As such, it was as if Rice had attempted to give her daughter a form of immortality. Rice, however, experienced psychological problems that cleared up only after she had rewritten the ending – by killing off Claudia and taking Louis through an experience of intense grieving. This version was much more cathartic for Rice.”