\version "2.19.27"
\language "english"

quotedStuff = \relative c''' {
  r4 bf4 r8 bf-- |
  R1*10
}
\addQuote "quoteMe" { \quotedStuff }

melody = \relative c' {
  \new CueVoice { \set instrumentCueName = "Quoted from…" }
  \cueDuring #"quoteMe" #UP {
    R1
  }

  %This should not typeset in quote style
  r4-"Stuff to be played as is" ef\upbow( f) r |
}

\score {
  \new Staff \melody
}