I've never used theother mail services, so I can't compare.
We've used the premium forwarding service for a few years now, when we snowbird in Florida. Our mail carrier packs up all of our mail, puts it in the box & sends it to us once a week. Works very well. As you can see in your link, it is a bit pricey. This works for us because we stay in one place for the 3 months we're down there.
We have been using a post office box in Florida. This year, we're going to have it sent directly to our campground. This way, we can set it up online.
When we first started to snowbird, we used the free usps forwarding. You hand in a temporary change of address. They send your mail to you. The problem was, they don't send everything. If an envelope says " do not forward" or " return service requested" etc, they return it to the sender. We missed doctor bills, some tax information, etc. (We try to get things sent to us online, not everybody is onboard with that yet)
We've had no problems with the premium forward service.