No, the result is the same as if the original buyer was still playing the game, rather than selling it on. What's next, charging a monthly fee for a mere FPS just in case the original buyers play the game *too much* resulting in extra load? Also, matchmaking/statistic server costs are negligible (hence why Valve and pretty much any other company that's still operational still run the servers for decade-old games and even fan-made mods for them), they can run mutliple servers and games on the same backend depending on the load, and actual GAME SERVERS are run by the users, either dedicated as on PC, or peer to peer as on consoles, without added cost to EA. The companies' servers generally keep statistics and are the means with which you find other people to play with, other than that all the load is between the players and/or servers that are not EA's and hence present no extra cost for them. Heck, they actually give them an income on PC, what with having to pay EA for your server to be ranked and the players who play on them gaining statistics, ever since Battlefield 2.
But EA is running their own server network. It's a service they provide that is separate from Xbox Live. It costs money to maintain. When you resell a game the result for EA on the server usage side is the same as if someone bought a new copy.