This idea is not new. Duplicate bridge tournaments use this format every day. On RGP there has been extensive discussion of the idea. A
Google RGP search on Duplicate Poker gave over 600 hits.
One person tried to implement an duplicate poker event at the WSOP but was not able to do it despite a huge effort.
FWIW, I think one problem with the format is that it could lead to some very unusual strategy adjustments. For example, suppose you are on the last hand and have been dealt AA. Further suppose you know you have made some mistakes and strongly suspect you are behind your competition at the other tables. The correct play is to fold, and hope AA gets cracked. If you make the standard play you have no hope of gaining any ground on the competition.
In the bridge world, this type of problem is somewhat mitigated by using alternate scoring methods such as IMPs and matchpoints.
I agree with your main point though. I think this type of event would be very interesting.
Paul