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I think the reasoning behind that is that with it being based on battle passes, it would be too easy to simply erase your battle record. For another, I for one wouldn't want to be a trainer who has like win loss ratio of 1 to 10, and have that being paraded over the internet where people can see. As for those who are good enough to have that ratio inversed, your opponent will realize it without the number when you beat them.
I wouldn't mind having the record in the game, just not shown off online unless I wanted to. (Like Big Brain Academy where you have the option to send your record online.)