What do you mean "better profitability criteria"? I don't want an index to exclude companies on the basis of profitability. I want it to hold the market.
(I also don't want them to create special exceptions. The S&P 500 has pre-existing inclusion criteria, and I'm glad they're sticking to their rules.)
> What do you mean "better profitability criteria"? I don't want an index to exclude companies on the basis of profitability. I want it to hold the market.
OK, then put your money in VTI/VTSAX instead of a S&P 500 fund. I own some VTI and also some FXAIX, you can do the same thing and choose which index to buy.
Every index has criteria, usually somewhat unique, or there would be no marketable difference between them?