CB's just kept repurchasing until unemployment bottomed out, and now that we've hit the bottom, they will start to shrink their balance sheets. That's their mandate - maximize employment, keep consumer prices relatively stable.
All CBs can really do is make sure banks have enough money to lend into the economy by adjusting reserve requirements and interest rates. They could massively screw up the economy by jamming interest rates up right now, or dumping all their purchased QE assets back on the market, but they can't really improve the economy strictly through monetary policy.
That would require better fiscal and regulatory policy, such as tax code reform, increased spending on R&D and infrastructure, spend on education, etc. Even then it's not guaranteed this spending would lead to any technology-advancing breakthroughs that could raise the standard of living across the economy.
Ultimately I believe that low productivity (we've hit a ceiling on the returns to the internet, computer, and smartphone for the moment), plus a lot of the rest of the world catching up in terms of infrastructure, is to blame for the stagnation.
I just don't have enough economic knowledge to say with confidence that unemployment would have bottomed out without QE2 and QE3, and that monetary policy post QE1 has been bad/unnecessary. I have to defer to CBs judgement on this matter.
If you have studies/data to the contrary I would definitely want to read them.
https://www.federalreserve.gov/econres/feds/files/2017093pap...
Personally I believe many older/sick people would have died if central banks hadn't dropped interest rates and embarked on QE asset purchasing schemes to keep the system afloat.
Credit/lending would have all but disappeared for a while, many would have lost access to financial instruments necessary to secure housing, healthcare, insurance.
As a young person I'm not happy that we've propped up the status quo, that my rent is stupidly expensive, and that the majority of recovery has gone to the wealthy/those who owned existing equity/assets/real estate, but I can see why it was necessary.