Vegan cheese is completely different from lactose-free cheese, and is one of the worst things I have ever eaten. It does not retain a single attribute that makes normal cheese appealing, but still manages to smell like an old sock.
I've never had coconut ice cream, but I've had soy ice cream on several occasions and I thought it wasn't bad. (Shout-out to Chocolate Shoppe Ice Cream, a Wisconsin manufacturer who does a great job of accommodating a wide variety of dietary restrictions)
I'm sure your friend finds her brand of fake cheese palatable, but I seriously doubt it bears any resemblance to real cheese. One of my close friends was a vegetarian because she couldn't give up cheese, until the point where her conscience overwhelmed her and she became a total vegan. She's been looking for a vegan cheese for the past seven or eight years, and I've unfortunately shared in the experience. I'm comfortable with the claim that right now, vegan cheese is not a replacement for real cheese.
The problem with vegan cheese is that vegan foods are generally only convincing substitutes in a specific domain. Ice cream works because ice cream is always frozen. Nobody complains if your vegan ice cream doesn't look like ice cream when melted or boiling. On the other hand, the same cheese can be melted, broiled, burnt, shredded, or some combination of the 4 depending on the application. Plus, it has to taste like cheese too.
In some sense, it's a bit like vegan bacon, which generally just tastes a bit smokey, and I've never found any that has the crispy texture that melts in the mouth like real bacon. Fake cheese just has a really ... off texture, and it's flavor is one-dimensional.
Despite the label claiming that, it isn't actually the case. Rather than removing the sugar, which is quite difficult without affecting the milk, they simply add lactase.
because lots of people love meat but dislike the way it is obtained. compare fake cheese and icecream for the lactose intolerant - they love the taste of cheese and icecream, just not its effects on them.