Well, she's only y1, so I wouldn't expect a lot more than you are getting, really, if I'm completely honest. Tricky without knowing how far ahead academically, as well. And if she still needs a lot of time and effort for writing, then that makes it al, trickier. (believe me, I know. Dd2 falls into the HG range but has cerebral palsy. We were told at one point that she couldn't access the g&t programme because of her handwriting)
Honestly, if they have sorted the reading out, (it's always trickier in an infant school, dd2 was reading well before she started so had already outstripped the reading scheme) and they are doing some extension work with her, and she does need to catch up in certain areas (eg handwriting) then they are probably fulfilling their obligations literally.
All kids are expected to do all the classroom work tbh. And then be given extension work if appropriate. It nearly ds1 to have to sit through stuff that he doesn't want to do, is way too easy, and he isn't remotely interested in, but tbh, if we intend to keep them in the school environment, that's the way it goes. A large percentage of school is sucking it up and going through the motions and learning to do as you're told. we are contemplating he for ds1. It isn't necessary for the girls as they are far more compliant (and actually more 'gifted' in a testable sense) but he's quirkier.
A lot of yr 1 kids find it tricksy after all the play of yr r and nursery to make the transition to a more, um, boring traditional academic routine. It's part and parcel of yr 1.
School do seem a bit crapola though, but it's a lot more differentiation than you'll get in a lot of schools.
Infant schools are always tricksy, just because of the lack of curriculum materials avail past ks1.
Realistically, whatever you intend to do about it now, I doubt anything will happen. From April all anyone thinks about is the end of term.
I would watch and wait and see what September brings with y2.
If you wanted to be proactive and gat a realistic idea of capabilities, you could fork out for a private assessment. There's no real need, and early testing can be a bit ambiguous, but it might give you an accurate picture of where she falls.
I would do lots of writing with her over the holidays though. Particularly if she's age appropriate in this area but ahead in others. I think I would be not encouraging her with the dramatics, but would keep suggesting she tried really hard to finish her written work so that she could get on with something more interesting. No-one is going to tell her she can move ahead if she hasn't mastered that bit...