I'm realizing I don't, because I sort of don't see why I should go along with it? I'm fine when it's something like Skulls of the Shogun's early access, which was a more or less finished multiplayer beta (sort of like Starcraft II has done in the past), but all of the games that just have parts that say "yo dawg, this part ain't done so nothing happens when you click on it" just seem...shoddy? And like the game is probably hurting itself by giving first impressions that are so rough around the edges?
Unless your game idea is so captivating (like Minecraft or Day Z or something) that even though it's unfinished it is still amazing for players to engage in, I feel like it's kinda just a desperate bid by the devs to get more money to fund development while ultimately hurting public perception of the game in most cases, and hurting word of mouth in the long run.
Would you care if they shut it down? What are your experiences with early access games?