Safety of investments in direct mutual funds via AMC vs DMAT discount brokers

Hi,

I am pretty confused about the safety of mutual funds when I invest via Zerodha vs HDFC mutual fund Sahi Hai platform. Both the platforms give me a direct plans to invest in the mutual funds, but Zerodha has a DMAT account associated with it. (CDSL)

Does a DMAT ensure a safety that AMC will not do bogus transactions on behalf of the investor? How does SEBI ensure safety in mutual funds? (I know for stocks, SEBI allows to change broker if the current one goes bust, is there any safety net like this for the mutual funds via AMC as well? )

I am really cautious about the investment frauds, so just wanted to know.