What to do when airpods pro get lost and have apple care?
Can my stolen airpods get replaced with apple care?
Can my stolen airpods get replaced with apple care?
AppleCare Products - Headphones - Apple
Reading the above link mentions damage but not loss, so I think no, it does not cover airpods being stolen. Check if your renter's or homeowner's insurance does (and if it is wworth the deductible you will have to pay).
What to do when airpods pro get lost and have apple care?