"Don't con me". Bacharach and David in fact utilized Warwick's pessimistic response (with a shift in meaning) as the title for "Don't Make Me Over" the song which would indeed launch Warwick's hitmaking career.
The songwriting duo of Bacharach and David used Warwick's cynical response to their song, which was later adapted as the title for his breakout hit, "Don't Make Me Over."