I doubt you'll find any good documentation showing that an increased L2 cache size gives you 13-17 more FPS on your gaming server and allows a 6% cache increase.
Would a dual xeon 3.0Ghz machine perform better than a 2.4Ghz machine? 99% of the time the person answering that question would say yes.
If you are just looking for an answer, then yes it will perform better. THere may be a very few select cases where it wouldn't, but I would not worry about those. If you are looking for detailed information about how an CPU works and what Cache is, the difference between L1 and L2, google has tons of info on that.