Any change to the original contract voided the original contract. If you don't like the term added by the bank, you can walk away without any obligation because there is actually no contact between you and the bank because the bank didn't accept your original offer.
Only when you accept and sign the modified contract, then you and the bank are officially binded by a contract.
Trust me on this. I'm taking some RE legal class now. And we just talked about what is a valid RE contract recently.