Dunno about that. The Fed doesn't want to see economic weakness per se, they want to see price and wage inflation returning to 2%. The ideal scenario, for the Fed, is that wage and price growth moderates while unemployment stays at rock-bottom levels. At the moment that's precisely what we are seeing.
What the equity market wants is a different story. If it can't get easing and money-printing right now, the next best thing is an imminent recession and mass job losses to force the Fed to jam the accelerator once again. The worst outcome for the market is a 1970s-style inflation spiral, the next worst is the prospect of 5%+ Treasury yields for multiple years - meaning equities are priced rich and the October lows won't hold.