Eagle Blast is describing how a traditional ELO system works, however WarLight's ELO system is a bit different and actually doesn't work like that.
You can set up your own scenarios like this and see the outcomes by following the instructions in this blog post:
I'd have to run it to be sure, but I would expect that you would see only a minimal difference, but certainly a difference. By your numbers, the first player is 10 for 11, and the second is 100 for 110.
Since you said they're playing the same players, I'm assuming this means that the second player has a ton of duplicates (10 games for each player that the first player faced.) This algorithm does give a benefit for beating the same players twice, but I would expect that it's a smaller benefit than beating two players with the same rating. Again, I'd have to test it to be sure.