If the buyer does not ship the original item back, then you should receive an automatic reimbursement but you would want to keep track of this particular replacement order return to make sure.
After you receive the original damaged item back, you may be able to file a claim with the shipping carrier for damages. I would wait to receive the original before deciding about a Damage Claim. It also depends if the buyer actually returns the original.
The advent of the 020824 News Headline “Instant replacements are available for seller-fulfilled returns” (link, ‘id’ v.), which heralded the last-known revision in this published policy, was when I first heard tell of a Replacement Order being placed sans an acceptance scan upon the Buyer’s label, as such a scenario was pointed out more than once in that News Headlines’ accompanying NSFE discussion (link), right from the get-go, by some 3P Sellers.
In the ensuing 6½ months, the crescendo of similar reports has only appeared to increase - here, there, and elsewhere.
So have the reports of Amazon failing to honor that guarantee more often in the breach than the observance…