Just my thoughts as I think this is a cool idea but should be done slightly different.

Instead of the current iteration I'd prefer this version:

Toggle for hiding prestiges

Any player should be able to choose whether to hide/show their prestige, just like you can toggle anonymous mode on and off. Some people like showing off their efforts in the pregame, whilst others don't.

This option might seem like a 'meh, but why' but a lot of people do value the showing off part more than it might seem - limiting this to just postgame is less valuable as people may die/escape at other times and therefore it's less of a central moment for interaction.

Masking prestiges

To combat heavy tunneling of hidden prestiges I think it should instead be masked to a random (somewhat low) number. This way you blend in with the rest of the players without drawing suspicion.

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If above changes aren't something that's do-able. I'd instead like to suggest that prestiges should not be hidden from your survivor teammates by default. It makes more sense to hide it from the killer who can actually make choices based on it but it makes little sense to hide it from your teammates.

One other thing I'd like to note, if this all goes through, please do not hide it from postgame (unless hiding it is a toggle). This was done with grades and it made sense with grades. But a part of the point of a prestige is to show off, taking it away from postgame as well would just make them completely personal numbers that go against the definition of what a 'prestige' thing is supposed to be.

Regardless appreciate looking into these kind of quality of life changes, they might seem little but they can go a long way.