This is one of the biggest barriers to learning schools have imposed on children.
It matters not a jot in Yr 2 SATS if she loses points.
In Yr 6, whether they join or not isn’t counted....and that’s the point they (IMO stupidly) base GCSE target grades on so doesn’t matter then either.
By the time she is Act secodnary in Yr 7, cursive isn’t even on their radar. They really don’t care how they choose to write...as long as it can be read.
DS, we thought had dysgraphia because he was in pain when writing all the way through primary. In year 4, having had him privately diagnosed with hf ASD, when I mentioned dysgraphia, the sendco said “what’s dysgraphia, can you explain it to me?”!
They did nothing and had an Ed Paych look at his work. What she didn’t see was how long it took him.
However, once he started in Yr 7 they said didn’t care how he wrote and although it still hurt after a few lines and he was extremely slow still, his writing was beautifully neat and easy to read....so not dysgraphia.
Fast forward to a few weeks ago when he was privately assessed by a sensory integration OT, as part of or EHCP assessment, who confirmed he has low muscle tone and is slightly hyper mobile!
It took until year 8 for someone to notice there was something wrong with his ability to write! You can imagine how cross I was because I’d been telling school from about Yr 1/2 onwards and non of them picked up on it.
I think age 4 is extremely young (I mean from school’s point of view) to be worrying you about whether your dd can do cursive or not.