It is common for liberty-oriented officials to put their own home into an LLC and have an appointed officer/manager as the public-facing contact. I am quite sure that rich and powerful people will do some decent but firm pushback if FinCen goes too far in making records public. Edited: replaced 'privacy-oriented' with 'liberty-oriented' in light of Bruce Schneier's blog.
If they have nothing to hide they have nothing to fear. I would take the hypothetical fear and pushback by these "types" as a strong positive signal that this is an effort that is vitally worth doing for society.
I am sure the Dutch didn't think recording the religion/race was a problem. Until it was. Took some work to limit the damage [1]
[1] https://en.wikipedia.org/wiki/1943_bombing_of_the_Amsterdam_...