moving rests relative cues

[Paul Scott]

I'm trying to move rests associated with cues.  The first measure shows 
the problem.  The second measure shows the attempted solution.

Changing #down to #up is not reasonable in my real complex score.

TIA for any7 help,

Paul

\version "2.23.5"

aa = \relative{ f'4 4 4 4 4 4 4 4 }
\addQuote qaa \aa

bb = \relative{
  << { \cueDuring qaa #down s1*2 } { R1 d''1\rest } >>
}

\score{
  \new Staff \bb
}