They do! Not fully optimized for developers perhaps, but check out "Speech Viewer" in NVDA and the "Braille Viewer" and "Speech History" in JAWS. This guide has some screenshots:
https://www.accessibility-developer-guide.com/setup/screen-r...
https://www.accessibility-developer-guide.com/setup/screen-r...
Disclosure: I used to work on the Narrator team at Microsoft.