It definitely matters if you can prove that it is a different serial number. It's not going to cover everything, for example they could still replace internal parts and send the 'same' item back. But it tends to be good enough cover for the vast majority of low level scammers.
I have heard (not with evidence) that it doesn't matter.
Ie, how could you prove you didn't take a pic of something else with the serial number in your ebay listing. Then send a broken one.
You can't.
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