I used to design transformers and we used either 750 or 1000 amperes per square inch for loading a bus bar. The last time I worked in that area was 1969 so the details are really fuzzy. It seems like we used 750 for Al. and 1000 for Cu. A ?" X 4" bus would be 1 square inch.
Keep in mind that I am going from memory and I was working for a manufacturer. I can't find where the Code addresses this issue.
A word of warning, do not try to compare bus sizing in a Listed product with any "standard" for current density. Manufacturers apply bussing based on actual temperature rise which includes factors like air flow and configuration.