I think for the first year or so most people think the govt handled it well, with excellent cooperation between the Länder and Berlin. It was unknown territory and mistakes were bound to be made. As time went on the country's federal structure - designed for obvious reasons to prevent power accumulating in the centre ever again - began to work against actually getting decisions made put into practice. The right decisions would be made but it started to take weeks if not months to get them implemented, no one person was responsible so things just didn't get done. Cumbersome bureaucracy.
Although very popular I think Merkel was tired out from too long a period in office and it showed, but most felt the country was in a safe pair of hands.
The biggest mistake imo was having said very clearly across the political spectrum that vaccination would always remain voluntary the govt changed its mind and tried to make it mandatory. I can understand this, as the healthcare system did get near to being overwhelmed with non-vaccinated patients. In the end this was only implemented for staff working in healthcare, agreement was never reached on what the legislation for the rest of the population would look like, and as the situation eased it was taken off the table again. There was a very real fear that such legislation could be thrown out by the Constitutional Court as being too invasive in citizen's private sphere.
One of my abiding memories is of just how badly prepared the infrastructure was to deal with the pandemic. The health authorities using outdated methods like faxes instead of e-mail due to a failure to invest over the last couple of decades.
One of the nicest things was to see all the various politicians from the Länder sink their personal political differences and work for the common good. Something else was a willingness to admit making mistakes, not something you usually see in politicians!