Any central bank actively considering issuing its own digital currency would need to carefully 4/5  BIS central bankers' speeches  consider the full range of the payments system and other policy issues, which do seem substantial, as well as the potential societal benefits. To my mind, they should also consider whether the private sector can substantially meet the same needs.
It is interesting and instructive, for example, that the indexation of wages to prices in labor contracts has always been quite limited in the United States; some indexation was used during the high-inflation 1970s but the practice has been substantially reduced since then. Moreover, some countries that adopted indexing during high-inflation periods, such as Brazil and Israel, largely abandoned the practice when inflation receded.