you yes but no doubt the police who interviewed him would of talked to the police who had been there.
Police had not speaked to her since early August when she was firmly in Jeremy's corner. There is no evidence at all they mentioned anything about him puking to her nor any reason they would.
Her claim about him telling her he forced himself to puke was included in her September 8 statement to police. She met police on September 7-8 to draft that statement. Police say she told them at this time that Jeremy told her he forced himself to puke.
So basically you are accusing police of telling her Jeremy puked and police making up the lie that he told her he forced himself to puke and for her to simply write it down.
There is nothing to suggest police made her lie about anything let alone something trivial like that. You are so desperate to try to find a way to discount everything that implicates Jeremy that you go to ridiculous lengths to do so.