When SMTP delivery fails (without a receiving permanent 5xy negative completion SMTP response) and there's no alternate/backup MX defined, IIRC the RFC's leave it up to the sender implementation if delivery is attempted again and how frequently and for how long subsequent delivery attempts will be made. The standards also leave it up to the sender implementation if and how soon temporary delivery delay notifications get returned to the original sender and/or how quickly a permanent delivery failure error notification is returned.
When more than one MX record is defined for the recipient domain then for every delivery attempt a standards compliant sender should attempt delivery to all MX records, one after the another and honouring their priority, until either one MX accepts the message ( the sender receives a 2xx positive completion SMTP response), or one MX rejects the message (with a permanent 5xy negative completion SMTP response) or until all have been contacted.
When none of (primary and or backup) MX records have permanently accepted or rejected the mail message for your domain, then I would expect that the same, sender implementation specific, failure path is followed as for the case when no alternate MX records exist. I other words: "the sender may queue the message for a later delivery attempt or give up".
Do or do not
The whole concept of a multiple MX records and a backup mail server under your own control is the fact that you control it and you don't have to rely on the queuing and retry policy of the original sender, or the absence thereof.
When you don't want that control; when you don't want your back-up MX to queue your mail but want to leave queuing and delivery retrying up to the sender, simply don't configure a backup MX record at all. That should have the same effect (if not a better effect) than setting up a backup MX pointing to a server that only generates errors and which in reality won't accept and queue your email.
IMHO the intended purpose of a backup MX
Is that when your primary server goes offline and/or becomes unavailable due to an outage or planned maintenance, the RFC's and a correct implementation of the SMTP protocol by the sender should ensure that e-mail messages addressed to your domain get sent to your backup MX, where the mail will be accepted
and queued for as long as it takes for the (planned) outage to end.
Your backup mailserver (and not the sender) will control if/when mail delivery delay/failure notifications will be sent to the original sender or not.
Once the outage has ended and your primary mail server and mailboxes are online again, you can flush the queue on the backup MX and (almost) immediately receive all queued mail. With the ETRN SMTP command for example.