Damn. I was supposed to do it earlier this year and ended up postponing to next month. I was about to buy the ticket and just saw this thread. It seems that with temporary residency you can have the national ID card though. I wonder if after getting the temporary you can leave the country without them knowing and come back back after 2 years for the permanent residency. ( the brazilian border is not controlled it seems, you can go through without passing by imigration).
One thing to keep in mind is that if you put most of your wealth into offshore entities, many︀ of south american countries becomes effectively tax havens as they don't have CFC rules. But︁ in the case of Brazil and Argentina, for example, this might change in the future︂ with their entry in OECD, and you will pay taxes on dividends. Also you will︃ have to fill annual taxes there, even if you don't have taxable income. And if︄ you want more privacy, those countries have CRS and a lot of information exchange treaties.︅ It's not something comparable to Paraguay.
I don't know anything about personal tax in Colombia︈ but I know that they have one of the highest corporate taxes in the world.︉ And the current president is a communist. Nothing can compare to the previous PR of︊ paraguay: territorial taxation, minimum presence, no CRS, stable and non-intrusive government and tax office, low-profile.︋
I will have a look at Uruguayan residency, as they also have territorial taxation and︌ have PR available to mercosur citizens.