I imagine if I had enough snow on my roof that would be in the range of causing a collapse, yes, my auto pool cover would be at risk. I imagine any winter cover would be a concern if there was a season/event that had that much weight as well. I guess it just depends on where you live, and what your expectations for maintenance are during the off season. If you are in a part of the country where 2,000 lbs. could be sitting on the cover during winter, you probably should be looking for ways to take some of that off, but I think that would be the case for any winter cover, and probably even your roof if that much weight in snow and ice came.
I guess I would look at any winter cover in the Midwest or similar climates as not a "set it and forget it" kind of circumstance. Winters around here are not times where you just bunker down in the house and forget about the outside. You always have to take a look around outside for vent blocks, snow drifts, heck, even just moving snow off the driveway and sidewalks. I can see the pool area being another place to check during the winter season.