@Avinashokka
At first, I thought that might be the case too, but now I highly doubt it.
First of all, the title itself is "Win counts on the day," and the OP's opponent also said "Don't you see where you have won 1 more game than me today?" so they're clearly referring to that specific day, not a month-long match history between the two.
Besides, it's pretty rare to run into the same opponent more than once in a month, let alone multiple times in a single day. So if that were the case, it wouldn't make much sense for someone to say "You have won 1 more game than me today."