Problem? No, it's working as designed: as a plausibly deniable mechanism to print trillions for rich people. Meanwhile, inflation will be blamed on the billions printed for poor people. "Balance sheet that never rolls off" is very much in the same genre as "loan that is actually a grant" and "financing tax cuts with debt."
Assets have been artificially inflated for a very long time due to QE and low interest rates and the Fed's balance sheet.
If that were single handedly the reason for corn and lumber to get more expensive (general inflation) - we should've seen that a long time ago.
There's a lot going on - and it's hard to blame everything on the Fed. Rising inequality? Sure. General inflation? Not convinced.