`printf "\e[6n"` command causes nushell prompt to output `^[[<row>;<col>R` every time enter is pressed

Describe the bug

EDIT: Initially I described this bug in terms of nushell behaviour. In a later comment (what I presume to be) the same bug is exhibited using only reedline

Here is a recording.

I can reproduced this bug in the three terminals I've tested:

1. st 0.9.2 (with some patches)
2. xterm (xterm -version gives XTerm(394))
3. rrxvt-unicode (urxvt) v9.31 - released: 2023-01-02

The bug appears to be independent of terminal used, and is not present with the bash I'm using, so I imagine it's a bug in nushell. If I'm not wrong nushell itself sends \e[6n to the terminal (3 times?) when printing the default prompt. Maybe Nushell expects to receive \e[6n strings from the terminal at very specific times and so when this happens unexpectedly the internal state get's mixed up 🤔 That's just my backseat debugging though..

To me this looks similar to this issue https://github.com/nushell/nushell/issues/13570

Please let me know if you'd like me to try and reproduce with other setups! :-)
Or if there is something else I can do to help.

How to reproduce

1. Open terminal
2. Type printf "\e[6n"
3. Press enter
4. Observe that the string ^[[<row>;<col>R flashes on every subsequent enter

Expected behavior

1. Open terminal
2. Type printf "\e[6n"
3. Press enter
4. Observe that ^[[<row>;<col>R has been printed to the terminal by nushell

This is almost the behaviour I get with bash. With bash I get

[myprompt]$ printf "\e[6n"
^[[<n>;<n>R
[myprompt]$ ;1R

i.e. after having pressed enter the shell prints ^[[<n>;<n>R to the terminal but my prompt ends up having the characters ;1R, so if I press enter immediately I get bash: syntax error near unexpected token ';'

Configuration

Reproduce the issue in reedline using the documented printf "\e[6n" sequence, then compare the behavior with the linked recording and the later reedline-only report. Trace how the terminal response is handled after Enter; done means the response is not emitted on subsequent prompts or enters.