As a temporary measure to bring us out of the current situation more quickly - definitely, yes. The potential to save lives and the crumbling economy is infinitely more important than potential privacy issues, which incidentally, appear to be no more concerning with this app than any other.
I'm sure much about me is already captured and I suspect there's very little I could do about it, even if I wanted to.
Until they try to force me to 'take the Mark of the Beast', I won't worry about...