Looks like there was a previous request to be able to print the Section name on the remote printers (kitchen slips) and was already added, however the customer Checks/Receipts don't show this information currently either.
If you have rooms with similar order types set, and lets say sequentially numbering turned on as well, you could potentially have a To-Go order #2, with a Walk-In order #2 and not be able to tell them apart.
In the example picture attached, the 2 tickets are the left are from a "Walk-In" room, order slip on the bottom, customer receipt on the top... and the 2 on the right are from a Pickup room. As you can see there are two #1 tickets and two #2 with no way to tell apart if just looking at the receipts.