Yeah, the biometrics is done by US immigration on behalf of UKVI, and they have nothing to do with your application or documents - they don’t even care what type of visa you are applying for... they are just providing a service.
They literally just check your ID, stamp your appointment sheet, take your fingerprints and photo and send you home. So, the checklist is not relevant to biometrics at all.
I would either upload the checklist with the rest of your document, or if you have trouble uploading it, just mail it to New York with your passport, biometrics sheet, first page of application, priority receipt, return packaging etc.
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