we already know from your paper that there will be at least a delay due to the contest/confirmation time. also, the SPV proof is untested, unless you want to claim it's perfect right here and now, which would be foolish. these factors alone will ensure that there is a difference btwn the BTC and scBTC.
You first must burn bitcoins into SC.
So if you burn 10M of 13M BTC then the rest 3M BTC will increase in scarcity drastically. (3.25 times more scarce)
Then if scBTC will become worthless and tokens inaccessible then all value(market cap, not tokens) will be returned to BTC.