I would not be as disgusted if a counselor made someone feel better. That's because typically the counselor relies on training to get the person through tough times. Often these are tried-and-true methods—perhaps with a little controversy—but generally accepted and tested.
This person is claiming to be able to talk to dead animals. The target audience is people who have such a strong emotional attachment to animals that their pain and/or guilt brings them to charlatans. This person is lying about her abilities and perpetuating wrong beliefs. I'm glad that my friend feels better about the outcome of the animal, but that could have been done in any number of ways not involving shelling out money to a hack. I don't know how much my friend paid in the end, but you're right that $11 (or $121 if it was 11 additional questions) is a small price to pay for peace of mind, but I vehemently oppose this woman getting that money for cold reading.
And if you look at the page, you can see the cold reading happening.
"Your dog loved eating bacon on Sundays."
"We never gave him bacon."
"He might be thinking of previous owners."
"Probably; we didn't know what his previous owners fed him."
It's glaringly obvious that she's fishing, but the client is obviously grieving and willing to overlook that.
In a sense, I'm kind of awed by how effective cold reading can be. It's beautiful how the human brain works, even to its own disadvantage, but the scams perpetuated with cold reading do disgust me.