Not likely, as it's a lot easier to do some basics like take a temp of your delivery people at the beginning/end of their shifts. And there's only one person, so you could do some contact tracing if you were some kind of modern country - unlike those unable to test hardly anyone.

So it seems a bit better than a free for all at the supermarket?

I just got the mail, with gloves, and left it in the garage. Same thing with an Amazon package yesterday.