Signature represents the end of business processing.
Even if you don't sign it, you have already applied to the bank for remittance. As long as the business handled by the bank is consistent with the form (or dictation) you fill out, even if you don't sign it, it's your responsibility.
Usually there will be a delay of a few minutes after the business is handled, but one thing is certain, even if you don't sign, the other party can take the money away in time, and it's too late for you to go back on your word.
I'm not sure if the other party is a liar, but I've never seen such a deal. Inspection before payment, of course. There is no general simultaneous payment and inspection.