Index funds didn't exist until 1975 while the Dow was formed in 1896. So I suppose it didn't really matter if the Dow was tracking things well, it wouldn't have impacted your investments.
It was still useful to have a general idea of how stock markets were valued, particularly in light of the events on and about 29 October 1929, a/k/a Black Tuesday. Valuation of equities markets themselves has a profound impact on the monetary and financial systems as a whole.
On which point, John K. Galbraith's The Great Crash: 1929 (1954) remains an excellent history of those events (and notes the DJIA's value frequently), as well as a general primer on equities and investments, and how they may go wrong.
