The drinking contest is a terrible quest and should be removed from the game immediately.
ESO has incredibly clunky world interaction. It's extremely awkward to target small items requiring the player to reposition themselves in just the right place, looking from just the right angle, in order to be able to interact with many items. To further exacerbate the issue, the interaction is drunkenly sluggish, with grayed out interaction menus that take too long to go away when the player does find the proper position to stand and direction to look, leading them to believe further repositioning is required when it is not. Leaving the player continuously fumbling around until they eventually stumble on the just the right combination of positioning and timing that make interaction possible.
This is easily the very worst aspect of the entire game. The vast majority of bugs in the game can all be traced back to this one aspect, clumsy world interaction.
The drinking contest quest in the Rift is like a showcase for just how awful world interaction is. To add insult to injury, it's timed.
The quest is entirely pointless. The player does nothing more than click on a keg and food. It's as if the entire point of its existence is to frustrate players and shine a spotlight on the truly awful world interaction of ESO.
Keep in mind, this is coming from a fan of ESO. I found the quest so frustrating I nearly logged out after my 3rd attempt failed. For players that are on the fence this would surely tip them to the other side.
Although world interaction in ESO is indeed truly awful, it is also generally sparse enough as to not to be overwhelming, the odd dungeon door lever here or quest interactable there. ESO should endeavor to eliminate or camouflage this tremendous shortcoming of the game as much as possible in the future and remove or entirely rework content that showcases it.