It's a quaint thought that store supervisors and managers have any influence over the number of each type of newspaper they get!
It's ALL computerised. The deliveries are controlled by the wholesalers, not the store management. It's dictated by the number of each returned at the end of the day. Then computer algorithms take over. If the returns are, say, only a handful, then that tells the computer, they got it right. If there are dozens of returns, it tells the computer they sent too many. If there are no returns, it tells the computer it sold out of that title, and to "think" about increasing the order. Trends are measured (again by computer), on day by day, week by week, etc. So the computer can decide to send more of a particular title on Tuesdays if none have been returned for the last 4 Tuesdays, but not if 3 of the last four Tuesdays had several returned.
We used to have a newsagents and it drove us insane that we had no control over the number we received of each title. Sometimes, we'd deliberately not return some issues when we knew the reason for less being sold, i.e. bad weather, car crash outside, power cut, or just lots of regular customers on holiday. We knew that if we sent too many back, our supply would get cut down and there was then the real possibility we'd not have enough for our regular deliveries and reserves!
Supermarkets are the main customers of the wholesalers these days, so there'll also be algorithms comparing sales against different stores to look at trends comparing the sales in one store against another, which likewise feeds into which stores aren't selling enough papers compared to other items they sell, number of customers, etc.
I can guarantee the poor sod on the counter isn't making copious notes as to who's been disappointed, and passing up the chain to their supervisor who isn't passing it onto the store manager, who won't be passing it on to the wholesalers!