After the beginning number, more blondes walk into the dressing room than there were on stage.
Burlesque was a lewd, crude, and often illegal form of entertainment. Yet the girls' costumes and numbers would be considered tame, even puritanical in a Broadway show. They wear far more clothing than the Rockettes at that pinnacle of respectability, the Radio City Music Hall.
In a flashback that takes place more than twenty years earlier, the women's hairstyles and clothes are those of 1948.
After the Bobby True Trio perform a song with their 3 sidemen, the instrumental dance music they play next has a melody played by multiple violins. Their band has zero violins.
When Bubbles says "turn blue" to a chorus girl, her lips are clearly saying something else.