Is that three weeks or four?
If three weeks, that's an annual rate of 65K - If four weeks, that's a rate of 49K. That would represent a fairly bad flu year, especially the 65K, but I think yes, that would be much closer to flu.
Of course, May isn't typically a bad flu month so if the idea is Covid might begin to behave like the flu, you would have to compare those 3,800 deaths to any year for flu, at the same time of year. If the actual average flu deaths for three or four weeks of May into June is much lower than the mean (total/12) monthly average, then it's a different story.
Hard to say, still not enough data, I don't think.