When first presenting the utility function and its arguments, textbooks typically start by stating that utility is a function of consumption and leisure. See for example https://sites.hks.harvard.edu/fs/gborjas/publications/books/LE/LEChapter2.pdf.
On the other hand, some consider that the utility is a function of income and leisure, and claim that this is more familiar than if the utility was a function of consumption and leisure. See for example https://www.jstor.org/stable/1911308?seq=1#page_scan_tab_contents.
What are the different motivations behind the two approaches? Which one is, or should be, the standard? What should be the reference point in determining the arguments of the utility function?