Hey Kells, I don't about the double sided tape idea ... I could be wrong but from an "engineering principles" perspective I'm thinking that because the tape's "soft and spongy" it would effectively act as a shock-absorber between the bridge and soundboard and thereby impede/dampen the necessary transmission of the string's vibrations to the body which would result in deadening/muffling the sound ...

... which would explain why bridges, both fixed and floating, are always (in my limited experience) mounted directly on to the soundboard (on a semi-hollow or directly to the top of a solid-body) without any padding or anything in between ... but I could be wrong ...

altho' its an interesting suggestion and worthy of a group discussion ... all thoughts on this topic are welcome, people