Hello,  No, there's no difference.   Or going to the primary side and pausing replication to the replication partner.  Typically it's done on the sending side, but can be done on either end.  When you have multiple replications in progress, the replication is time sliced over the replicas.  So no one replication task will consume the entire bandwidth.  
Anyone know if there's a functional difference between going into each volume in production and pausing outbound replication or going to the replication group and pausing inbound replication for each group? They would seem the same to me except for one thing: I paused inbound on the replication side last night because one volume was way behind and I expected the others (18 of them) to start queuing up large amounts of data and thus eat into the free space in the group. However they barely moved at all and I know we change a lot more data than the changes represented. It got me wondering if there's a functional difference in doing this.
Pausing inbound or pausing outbound?