If an algorithmic stablecoin can be pegged to anything, why are most of them pegged to the value of the US dollar which also suffers from inflation rather than to a unit of the cost of living, for example to the price of a basket of groceries?
Asset backed stablecoins have a calming effect on the mind and some of them have their governance and minting distributed to multiple parties making their operation less vulnerable for takeovers but still the deposited backing asset is always something rather physical which could be seized by force. Algorithmic stablecoins don't have this problem if they are implemented in a manner to prevent such actions.