Does not sound like she had Corian. Have used it in kitchens, bathrooms, including showers. Never had a problem with hot pots, or staining. Excessive heat like a cigarette can melt it but can also be sanded out, not like cultured marble. There are a bunch of Corian like products on the market, like anything else some are better than others. I have ripped some of them out and replaced with Corian, in those cases no comparison.
You will have some problems trying to buy it if you are not a Dupont certified installer. It is not hard to install but there are the tricks of the trade and no no's.