Many of them do, actually. When I had actively-managed funds the graph of their performance usually looked exactly like the graph of their benchmark, except minus a few basis points for fees.

Avoiding those fees is the whole point of index investing. If they can't beat the market, why pay more fees?

No argument. I shifted over to passive investing by the time I was about 3 years out of college. (I worked in financial software for the first 2 of those years, so holding actively managed funds gave me an added benefit of helping to understand what my industry looked like and how end-consumers experience all the complicated algorithm/decision products we were working on.)

"Active" managers are not required to charge high fees.