In the case of brandy and vodka drinks, well liquors might even be less tasty than plastic.
Call liquors are the next quality level up.
A premium spirit is a liquor that you should ask for by name. Keep in mind that a call drink at a dive bar may be a well drink at another establishment. A premium liquor may merely be the most expensive brand that a bar carries. We always spend the extra 50 cents for a call drink, rarely, if ever, ordering a drink from the well. If we're up for spending five or six bucks a drink, we might even request premium liquors.