I would tend to agree with you on the above - but, does the provision of the contract from the employer to the employee combined with the continued work of the employee not in some way infer tacit acceptance of the provided contract? - and its merely and administrative exercise in terms of signing the contract - but the contracts terms apply for the remaining period of work? The employer has already indicated they're willing to extend the terms to the employee by providing them the contract.
I tend to think not myself but just want perspective of those more knowledable than myself.