That looks like good parenting to me. Your house must be quite musical these days. I know you have some nice gear the kids can at least try. Have you got her into recording yet? That's a fun world to explore.
These days cheap gear can be really good. A £100 guitar when I started tended to be a bit crap and that was more money to us then. Things have also changed around amps and effects. I would have killed for a cheap multi-effects 40 years ago.
Rock on!