It sounds like what the writer is describing is a dairy product that used to be known as Ice Milk vs Ice Cream.
For myself, I stay with either Orange Sherbet or if when I can find it, Lemon Sherbet made from Meyers Lemons, this flavor has only been found at Lucky Grocery. FYI, Lucky is owned by Albertsons.
We used to have Albertson’s in Florida until Publix bought them out.................