The idea of "draft" in browser based strategy games shows in a few websites as follows:

"Your first character will be a draft that will discover all the tricks and then your second character creation will be greatly better prepared and therefore more polished."
http://www.mmogamesite.com/review/wizard101-review.html


Heroes of Newerth
Game Description and Comments

Heroes of Newerth is a free real-time strategy MMO that is based on the Defense of the Ancients custom scenario from Warcraft III. Real-time strategy games are growing in popularity as games like Heroes of Newerth and League of Legends are appealing to more mainstream players due to an increasing focus on action over micromanagement.

Key Features:
Free to play.
Based on Defense of the Ancients.
Draft modes where heroes are randomly selected or eliminated.

http://www.gameogre.com/heroesofnewerth.htm


The idea of emergent game play is discussed in a Wikipedia article:

"Emergent gameplay refers to complex situations in video games, board games or table top role playing games that emerge from the interaction of relatively simple game mechanics.

More recently game designers have attempted to encourage emergent play by providing tools to players such as placing web browsers within the game engine (such as in EVE Online, The Matrix Online), .. and allowing a player to spawn any object that they desire to solve a puzzle (Scribblenauts).

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Creative solutions
In games with complex physics and flexible object interaction it may be possible to complete in-game problems using solutions that the game designers did not foresee. Deus Ex is often cited as a game responsible for promoting the idea of emergent gameplay, with players developing interesting solutions such as using wall-mounted mines as pitons for climbing walls.

Such emergence may also occur in games through open-ended gameplay and sheer weight of simulated content, in Dwarf Fortress for example.[3] The Nintendo DS game Scribblenauts allows the player to write the name of tens of thousands of nouns within its database to bring that object into a game's level and have it behave realistically within the game's engine; the game challenges the player to find as many ways to complete puzzles or reach a goal by using such objects in any combination, and is considered by its developers 5TH Cell to promote emergent gameplay.

Emergent narrative
Some rare games don't use a pre-planned story structure, even non linear.

In The Sims, a story may emerge from the actions of the player. But the player is given so much control that they are more creating a story than interacting with a story. Emergent narrative would only partially be created by the player. Warren Spector, the designer of Deus Ex, has argued that emergent narrative lacks the emotional impact of linear storytelling.

Left 4 Dead features a dynamic system for game dramatics, pacing, and difficulty called the Director. The way the Director works is called "Procedural narrative": instead of having a difficulty which increases to a constant level, the A.I. analyzes how the players fared in the game so far, and tries to add subsequent events that would give them a sense of narrative."

I think the emergent draft would then refer to the development of the narrative and, or the development or elimination of characters through the playing out of the game.