Here’s one of the papers:
https://en.iacld.com/UpFiles/Documents/1e4ad0d2-4a73-4365-9b...
It gives no details whatsoever about how testing was performed except to mention that both rapid and central laboratory tests were used. It does not discuss whether the study medication could interfere with testing. It does not even say whether the tests looked for antibodies, RNA or something else. The actual study protocol is in the paywalled supplement information.
I’m not saying the studies are wrong. But I would be a lot more impressed if the studies actually discussed the issue.