I guess that is why Obama established an office in the White House to deal with pandemics. That would be the same NSC office that Trump cut for "budget reasons." The biggest difference between the Swine Flu Pandemic that hit in April 2009 and disappeared for the most part by April 2010, is that the Coronavirus is far more infectious and deadly. Although 60-million Americans got the Swine Flu, only 0.02% died, as compared with 1% in normal seasonal flus and 3.4% so far, with the Coronavirus. I did a quick literature search and could not find examples of Obama downplaying the potential danger of H1N1 or blaming others for any imperfect acts on his part.
The flu did put a strain on the health care system. Doctor visits were three times what they were for garden variety flus and hospitalizations were high. A vaccination was available before the second wave and the first 40-millionn doses went fast. Subsequent supplies rolled out and 100-million additionnal vaccines were given. The states with the lowest vaccination rates were in the South. Mississippi had one third the vaccination rate of Rhode Island, for example. The last states reporting H1N1 were in thhe South. I suspect that, since these states tend to be Republican stronholds, the longer and more widespread infections tend to color their collective memories of the epidemic.
Just from the facts, and reviewing more than one timeline report, it appears that H1N1 was not anticipated. But, I cannot find examples of major management problems associated with its course. Scientists were allowed to make appropriate decisionns and political leaders of all stripes mostly supported them and the health care community. So, it appears that the real warning of what could happens predates your 2012 citation. And, it appears that the right things were done by all political leaders, for the most part.