I have purchased Square Trade warranties on my Toshiba Thrive, both Fire HDs, and my paperwhite. I can't remember the specifics on calling into speak with customer service on my thrive, but I remember being happy with the outcome. They answered my questions and I purchased the warranty.
Recently, my fire hd disappeared and I thought it was stolen. I bought a new one and called cs to see if I could transfer the warranty to the new fire hd. CS explained since it wasn't a replacement fire hd (that amazon or themselves didn't actually replace it) but rather a purchase, they could not transfer the warranty. However, he was able to cancel the warranty on the 'stolen' fire so that I could purchase a new warranty. He advised this way I would have coverage from the first date of purchase for the new fire. They processed this quickly and I was able to purchase my new warranty and bind it to the new fire hd.
Then a few days later, I found my lost fire hd. I purchased a new warranty and then realized that the warranty was technically outside the 30 day purchase window for the old fire hd. I called customer service and they understood what happened and were able to make a one time exception since I had originally purchased it in the 30 day window. He was able to bind it to my old fire hd and that was that.
Any time I have called, they have answered my questions, fixed problems within minutes of the call. No long waits for answers etc. They remind me of Amazon customer service.
As for recommending this product, I would recommend an accidental warranty on any device that gets carried around. I don't do them on things like tvs, desktop computers, etc. But I always get them on nice phones, tablets, laptops because I do tend to drop things. I have used the one on my laptop 3 times (from another company).