Do Treasure Hunts continue to give a "guaranteed rare item" on subsequent plays?

Looking at a Treasure Hunt the first time, you can see the guaranteed item (not always a "rare" or what-have-you, but something good). On subsequent plays, the screen is replaced with the traditional one that lets you choose "Regular adventure" versus "Quests." However, the "Regular adventure" button says you get a "guaranteed rare item," unlike in normal not-for-pizza adventures.

Is this true?

If so, then do the Treasure Hunt "Quests" give EVEN BETTER items than normal ones do? (Normal "Quests," after all, are supposed to give you rare loot.)

And if either of those are true, then wouldn't this be another argument for giving completed Treasure Hunts a unique graphic on the map? They are gold-colored before completion, but afterward you can't tell at a glance which ones give you "guaranteed rare items" anymore.

 

The text is misleading because of the fact that all items you used to get from premium adventures used to be rare or better its in fact not true right now as far as i can see did one just now and only got a uncommon.

 

I've replayed unlocked premium adventures many times. There is no guaranteed higher rarity loot after the first time. There have been times I've walked away with nothing more than a handful of commons. It's just that first play-through where you get something special.

Edit: Unless something has changed very recently, that is.

 

Okay. Then . . . text error! Whee!

(I got a Rare and an Epic on the most recent adventure, after noticing the text, so I couldn't judge to the contrary.)