Maybe you mean there should not necessarily be a peg? Sure, but then it becomes just another altcoin.
There simply is no peg.
The SC contains bitcoin.
This is not a peg, it is a conveyance.
These are different things, and you ought not confuse people by equating them. It runs counter to your goals.
Not true.
The unit used in the SC is technically not the BTC.
The BTC is not moving around the sidechain, the scBTC unit it represents is.