The clients connected to Package servers should simply retry later if there are no available connections. Task, I think, is not affected by the OS constraints.
Task communication happens so briefly between clients and Task Servers that they should be able to handle it. Package connections stay open for the duration of the file transfer and definitely will be constrained by the OS limitation. Like I said, though, clients will attempt to reconnect later or to other Package Servers (if defined in your sites) and will eventually get the resources they're requesting.