You missed the part about adding HCl.
The sulfuric is only added in a very small amount to precipitate any lead as lead sulfate.
The purpose of the boiling down and adding HCl is to remove the NOx gas and convert the precious metal nitrates to there chlorides. The free NOx gas in the solution will cause the precipitated metals to be reabsorbed and also will allow a mixture of PGMs to precipitate with gold when SMB is added. It can also interfere with some reducing agents. If you convert all the nitrates to chlorides they can be cleanly separated with SMB (gold), ammonium chloride (platinum), and sodium chlorate(palladium).
If you neutralize with sodium carbonate or hydroxide (or any other strong base for that matter). All or some of your precious metals will precipitate together and you will have not separated and refined anything.
Steve