Most the ones that are advertised as outdoors pretty much will be with you for the long haul!  That said, there is, of course, no guarantee. Most, if not all, have the springs treated to lessen corrosion.  Also, most have UV protected netting to resist fading; the poles usually have some sort of foam covering and protection. It is known from one review that Zupapa’s product has withstood a few winters. That’s not to mention the fact that all of these companies tend to offer long-term warranties.
Most of the indoor/outdoor trampolines, we don’t recommend keeping outdoors for very long.  They tend to be made of plastic and other materials that gather mold rather easily and can be hazardous to your child’s health.