In truth, I think its too early to decide. However, I'm encouraged that he is worried about the consequences of not getting the economy restarted. There are measurable costs to the shutdown, including service impacts upon public healthcare.Do you think he is actually handling this pandemic well?
An analysis that I've not seen in any coverage (because it might offend viewer sensibilities) is a determination of exactly what is being accomplished by the economic shutdown. For example, the vast majority of fatalities have been cases where the infected person was over 70 and/or had a signficant underlying condition. What is shocking to the public is that these people are dying within a 2 month period. However, I wonder what the 2020 fatality totals for this group would have been for this group in any event? The difference represents the effective impact of the disease. From there, you'd need an analysis of how much of this difference can be (or was) affected by the shutdown measures. It is without doubt that flattening the curve lowers the stress on the medical system at the peak of instances. It isn't as clear what impact these measures actually have on the fatality totals for the demographic groups who are principally affected.
Whether I ultimately think Trump handled this crisis well will turn on this kind of analysis. If what he is doing turns out to be right, it appears that he's been moving more quickly than many other policians. If he turns out to be wrong, they will all turn out to be wrong.