Shattered Glass Revisited by The Rolling Stones' Manager

In Stoned  A Memoir of London in the 1960's by The Rolling Stones' manager Andrew Loog Oldham (St. Martin's Press, 2000), Oldham describes a conversation between Paul and John in 1964 when he rode with them back to London after The Beatles played a one night stand in Liverpool:
     "The humour took a macabre turn as John and Paul started to trip on what would happen if the windows
      of the Phantom V [note: John's new Rolls-Royce] zooming south suddenly shattered and splintered in
      their faces, turning them into unacceptably scarred and disfigured moptops, unable to carry on as part of
      the Fab Four now recognised the world over.
      'We'd have to be a fucking vaudeville act,' whooped John.
      'We'd have to have bear suits or masks . . . nobody could see us,' Paul harmonised."
Oldham's interpretation of the conversation was:
     "I watched and listened to this thrust and parry between the two writers and found it a little bit chilling to
      realise just how much they relished the idea of anonymity.  To the point of almost welcoming a shattering
      shower of glass that would splinter The Beatles and force them from the spotlight.  It was apparent that,
      for all the triumphs of the breathtaking past year . . . part of the dream was already over in early 64.  The
      eventual end of The Beatles was even then on the agenda of their informal bored meetings."

Oldham is suggesting, I think, that either:  1.) If Paul was in a car crash, it might have been a deliberate act
to take himself out of The Beatles; or 2.) That The Beatles staged an elaborate hoax to convince people that
Paul was dead in order for Paul to establish a lasting anonymity.

Neither theory makes sense because:  1.) Paul had many times expressed a desire to keep writing after The
Beatles stopped touring.  He wouldn't have needed a car crash or a hoax to get his wish; 2.) Oldham was
hinting that there might very well have been an incident involving shattering glass that disfigured Paul (and John?)  But there is too much anecdotal evidence in more recent books and contemporary (at
the time) lyrics by people who knew The Beatles that injuries that happened to Paul were not his doing.

But given Oldham's "telling" tale, I'm surprised the model car on the cover of the Sgt. Pepper album wasn't
a Rolls-Royce.