For Purchase Protection, the coverage exclusion is clear.
https://www.americanexpress.com/cont...P_DOC_CCSG.pdf
"PURCHASES NOT COVERED
The following purchases are not covered:
motorized vehicles and watercraft, aircraft, and motorcycles or their motors, equipment, parts or accessories."
The exclusion with extended warranty is different:
https://www.americanexpress.com/cont...W-DOC-CCSG.pdf
"PURCHASES NOT COVERED
The following are not covered
2) motorized vehicles (including, but not limited to, passenger cars, trucks, motorcycles, boats, airplanes) and their parts, subject to high risk, combustible, wear and tear or mileage stipulations
3) motorized devices and their parts used for agriculture, landscaping, demolition or construction
4) motorized devices and their parts which are permanent additions or fixtures to a residential or commercial building"
So a personal recreational use drone should be covered under Extended Warranty, subjected to other terms and conditions of the coverage.