Why is a freshly migrated caper's reserve empty?
Because migrated tokens arrive without anyone paying $XRD for them. On a standard caper every token in circulation was bought, so the reserve, the $XRD that sales back to the curve are paid out of, grows with supply. A migration adds tokens to circulation and nothing to the reserve, so a vampire caper starts with a large circulating supply and a reserve short of what that supply would have paid in.
Later buys close the gap. While the reserve is short, part of each buy goes into the reserve instead of minting tokens; the part is larger the wider the gap, and it shrinks as the gap closes, so the reserve fills faster as it goes. Every buy still mints some tokens and still moves the price.
From the buyer's side, an early buy into an unfunded vampire caper gets fewer tokens than the same payment would on a fully backed caper, because part of it is refilling the reserve. The buy transaction the site builds carries a minimum-output floor taken from the quote, and aborts if the mint comes in under it. An early buyer is underwriting the reserve that later sales are paid from, and the holders best placed to sell into it are the migrators, who paid nothing to arrive.
For a migrating holder: early sales are paid from a reserve that has not filled yet, and the caper is fully backed only once buyers have put in what the migration skipped. A community that migrates and then buys is funding its own curve; one that migrates and sells at once is selling into a reserve it never funded.
What happens if everyone migrates?
Then the curve has no room left to mint into, so buys cannot refill the reserve, and the reserve starts empty, so a sale fails as soon as it needs more $XRD than the reserve holds.
Anyone can fix this by donating $XRD to the caper's reserve. A donation mints nothing and gives the donor no tokens, no vote record and no claim on what they gave, and it cannot be withdrawn. It can be made on the caper's own component as well as through the platform, so it works even if the upgradable platform logic does not. A community planning to migrate in full should plan to fund the reserve as part of the same exercise.