Investors can demand it, but that doesn't mean they're going to get it. People lose money all the time, not the least of which are retired people living off of investments that weren't hedged against inflation.
I agree with you that we are in an inflationary environment, however interest rates are lower than they've ever been in modern history.
If the Fed raises the interbank lending rate, other interest rates rise, like you said, so the banks can make money.
This slows demand for borrowing and takes the pressure off of the housing market, reducing the inflation of housing prices.