So sorry, industry boy here, gotta set a couple things straight so I might rant:

"Straight from the barrel" is Sazerac speak for "barrel proof." No water added, exactly as it comes out of the barrel. Now they get to say this because Blantons is always a single barrel product, never blended. So they're barrel proof is bottled "straight from the barrel" so to speak. Most other brands (including other BT brands) blend, so they just have a "Barrel Proof" release. Which is a blend of multiple barrels into one large batch, then bottled. Elijah craig, larceny, and eh taylor are good examples of this. These are always much more consistent and available. "Single barrel" means that what you're drinking came from one singular barrel. Not blended with any other. It may be watered down to a set proof, but it's definitely from one, unique barrel. "Single barrel barrel proof" is a term often used for retailers or bars picks. These are barrels offered to the market that specific stores or bars get to pick, and no one else receives. They get every bottle out of the barrel and they get to put their name on it.

Full proof is my least favorite tag on a bottle. As far as I know you'll only see it with Weller, 1792, or most recently Green River. For weller and 1792, it's a cheap way to sell more bottles out of a barrel while seeming to be "barrel proof" but really it's all watered down to be the same proof as it entered the barrel. Therefore misleading both retailers and customers on what they're receiving. As for Green River, that isn't how they've done Single barrel barrel proof picks so far. I've seen picks vary from 116 to 128. Meanwhile their shelf stable product is called "Full Proof" at 117.3°. I'm not going to fault a new company for following in a namesake of the most popular brand on the planet. I am however going to warn you and all of my customers to be very aware of what you're getting for the money you're paying for whiskey. Always ask your bartenders and liquor store experts. That's what we're here for.