I like that Pathfinder 2e essentially does this by default! Bad metagaming can be so tedious!
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I do get the meme, but I can't really think of a way to hide specifically the result of a failed wisdom save from a player.
Like how would you tell a player sometime like "You feel like Alric is a wonderful person despite the corpse he is looming over" without it being very obviously a failed save against charm person? Same for basically any other enchantment.
Other spells with wisdom save are even more obvious by virtue of taking damage, or being turned into a cow.
Detect thoughts and dream are the only two I could find where rolling in secret works for wisdom saves.
You can also use that tendency to make them self-destruct.
Any time you're given a number for the save, just say "huh." Like it was an interesting result.
If you're going to be so openly hostile to a player just kick them because you're burning bridges to any hope of having a friendly table atmosphere again.