No, they could (unless it throws your APR out of tolerance) present the new GFE at closing, if they wanted to.
Your original 10 days (for intent to proceed) never changes based on re-issues for COCs, including rate locks. Also, even upon original issue, you don't have to wait 10 days...you have the seven required by Reg Z.
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My opinion only. Not legal advice.
Say you'll haunt me - Stone Sour