Thank you for making this post, i was curious about dampening an aluminum case would be like. Personally the sound as is doesnt bug me much, I like the sound of thick PBT caps on clears ( which after listening to your recording's mine sound a bit different, most likely because of the keycaps) , but i do notice the ping with clear switches on an aluminum plate, If you get more dampening from a mousepad under the keyboard than any material inside of the case id go that route if i am going for a quieter keyboard. But if it really does make the pinging more noticable ill probably leave it like it is.
I plan on getting a sturdier desk than the cheap ikea one i have now, and i imagine desk material would play a big role on the noticeable noise, when i bottom out the spacebar and enter keys it does reverberate quite a bit. But i do want to play a round with dampening/ desk surfaces myself as noise is one of the main reasons i love mech keyboards so much.