SSL is considered by some to be a fix for a problem that (almost) doesn't exist. It's very hard to actually tap the wire and extract unencrypted information. Almost nobody does it.
If you look at the case of buying from an online store, what's a lot more likely to happen, is that they hack into the server, and download the entire database of transactions. In an ideal system, you would never even send your credit card credentials to the reseller, just a signed certificate from the credit card company stating that the transaction has already been authorized. However in the early days of the internet, that proved to be too difficult a system to set up, but it would have been the more correct solution. In the end they opted for the less effective, but easier to implement system.
Now on to your question. In your case, I can't see SSL offering much. If somebody want's to set up a program to monitor what is being sent to/from the network, it can still be done, as they can just place the hooks to capture the data before it's actually encrypted. If you're worried about third parties, or opponents they are playing against, sniffing the wire to figure out information about the game they shouldn't have access to, such as chat between teammates of the other team. Well, I would say the risk there is pretty minimal, and not worth addressing.