A lot of governments have that ability for electronic transactions. In Brazils case specifically it was implemented as a payment broker between institutions that participate in the SPI (instantaneous payment system) and works pretty much like any other inter bank transfer system. It is also possible to use the system semi-anonymously by using a "non bank" participant that will broker the transaction for you using random keys. Which would mean not even your bank account no gets exposed, because its not used.

As far as I can tell the legal landscape of the solution currently only allow the actual government to look at the data with the standard court orders. I believe not even the 10k report limit is applied to pix atm the same way as the other methods.

Regarding fake transactions, that would be a non concern to me, the system is only centralised in parts, the banks still hold most of the data so they would have to collaborate on this potentially leaving lots of evidence behind. Governments do not need to be subtle to screw you over, see current US deportation news.

Its not that much different than how bank transfers in Europe work in practice. The US is particularly archaic in banking technology available to the public.