This is a very strange table. Why is Fuji transaction cost very high? Why transaction fees are high "on most chains" - what are those chains apart from BTC and L1 ETH?

There's no difference between "token based method" and "sidechain based method". Those are just overcollateralized with preexisting (i. e. not like Luna) assets.

Another option is a fully algorithmic token (Terra-like). Stay away.

Another option is an undercollateralized token, in other words, a hybrid of DAI and Terra: FRAX.

Another option is to let go of the peg entirely while trying to do maintain something resembling stability anyway: RAI.