A lot of applicants are just flat-out ignoring those requests (more the second than the first), either because they find them inconvenient, or because they're not aware of them.

Is it possible that the manager is intentionally employing this strategy as a test?
While I don't want to make any assumptions specific to this case, it's not uncommon for managers to adopt various methods to differentiate between exceptional individuals and those who may not meet the desired criteria. After all, managers have the ability to modify the initial post and introduce new requests or rule changes if they wish to do so.