She will write all sorts of sentences but they will only be the first letter or so of the words. It will be something like this "CWPPOT?" meaning "can we please play outside today."
DS did exactly this for years (from age 4 to age 6 I suppose - it was only reading your post that led me to notice that he doesn't do it any more). He called it "writing in letter code". He'd often do it aloud rather than by actually writing the letters down, too. And expect me to guess what it meant, which was OK when it was ILY but hard otherwise! So I don't know whether it has anything to do with the reading - DS was reading fluently before he even started doing this (he was obsessed with spelling individual words earlier, too). In his case I see it simply as wanting to join in with the writing scene but not being willing to write enough letters to make a whole sentence.