Six places a paid order can go missing inside a venue, and which of them a ticket at the right station fixes.
When a venue says orders are getting lost, the card reader is rarely the culprit. The money went through, the guest has a receipt, and somebody upstairs can see the sale. What broke is the hand-off between the moment of the sale and the counter that has to make the thing.
That hand-off is usually a person with a notepad, a shout over a rail, or a tablet with a list somebody has to keep refreshing. All three work on a quiet evening and all three fail at the same moment: when two counters are busy at once.
A ticket is not a better screen. It is a piece of paper that exists at exactly one station, carries the guest's name and what they ordered, and does not need anybody to be watching anything when it arrives. The counter that printed it is the counter that owes the order.
That is the whole mechanism: the sale routes to the station that sells that item, the station prints it, and the guest collects it there. No runners, no shouting across a rail, and no list to refresh.
A ticket does not make food faster and it will not fix a kitchen that is short two people. What it removes is the class of problem where the order was fine and the information about it was not — which, on the nights venues actually complain about, is most of them.