Is it entirely the fault of the 2019 rate cuts? No, but, we'd have been starting the 2020 games from a position of at least 2.25% interest (perhaps more like 3% if rate increases had continued) instead of 1.5%, that's 50-100% more room for the Fed to maneuver. What's more, it was a blatantly political and obviously stupid move even at the time, and widely acknowledged as such even at the time. There was no need for stimulus in 2019 when the economy was already roaring and it was "pro-cyclical", ie the opposite of the usual "anti-cyclical" policy.
(Also there's technically no reason that zero has to be a bound... the fed can pay you to take money, if it comes down to it. But all kinds of weird things start happening near zero and I think nobody really wants to fuck around and find out there.)
Anyway, we can also blame congress... the Fed has been begging for a decade for more active fiscal policy from Congress rather than forcing everything to be done via monetary policy. And that means more spending when times are tough, and less spending when times are good. When you're in the situation we were in 2008, it's irresponsible not to spend and leads to overexertion of monetary policy to compensate. But absolutely everything was stonewalled during the 2008-2016 period besides military spending. If Congress had engaged in more sustained stimulus and infrastructure spending during that period, the rates probably could have been pulled up a lot sooner (which is of course the balance to the spending).
And in contrast right now is probably not the ideal time for tons of spending either... but I think we are going to get the wonderful experience of "stagflation", inflation during a recession, so addressing one problem worsens the other. And there's really not any obvious tools to deal with that combination, besides just slowing the economy and letting inflation burn out.
Both of those moves look to me like overreactions inspired/emboldened by Bernanke's actions in 2007-8. Powell saw that slamming rates to 0 had helped to prevent a complete collapse of the financial system in 2008 and went with it. He didn't notice that Bernanke did a whole bunch of other stuff too, and that Bernanke was one of the world's foremost experts on the economics of the Great Depression, which certainly helped in 2008.