I believe this would result in more instances of funds being frozen when under the suspicion of doing something/being associated with someone doing something illegal.
Just as Social Security was promised to never be used as a national ID, but was ultimately used as an identification mechanism[1], accounts with the Federal Reserve would be sold as a way to have a permanent bank account, but would ultimately be used as a way of implementing financial ruin upon those who choose non-compliance.
Conversely, I also believe crypto serves the same end. There is nothing a financial regulatory body would enjoy more than having every transaction take place on a publicly auditable ledger.
[1]: https://www.nytimes.com/1998/07/26/weekinreview/the-nation-n...