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I'll be honest, I legitimately didn't think people played the Battle Facilities that much either but 250,000 is definitely very low to begin with, which only amounts to 1,000 full Tree runs.
At the number of BP earned, that means it was somewhere around 62,700 full Battle Tree runs. However, we don't know how many of these points were earned due to the same people doing multiple Tree Runs and how many runs they did but I'm sure they've collected data on that.
In other words: Sasuga, Gamefreak.