Nothing more than coincidence their past "predictions". Sure, there's been some pretty good likeliness when it comes to certain events, but we as people are pattern recognizing machines, and therefore we pick out what is familiar in a scene, and relate it back, but ignore much of what doesn't match up. Simpsons, has very likely made several other scenes which may have "predicted" something in another alternate timeline, but if the above post is correct about having predicted things 18 times (this is likely subjective too) compared with the amount of seasons that Simpsons has; which is around 32-35 seasons, with over 700 episodes in total, they've only have 18 scenes which show a likeness to real world events. Considering the creative freedom that a show like Simpsons has, its expected that they'll have these sort of "predictions". Especially, considering how broad some of these predictions are. For example, the horse meat "scandal" was something talked about before it was proven. The auto correct is something which is quite easy to think of. My point is, none of these were particularly outlandish. The equation on the board was probably the most impressive one. However, I wouldn't say most of these are particularly impressive when you consider 700 episodes total, much more scenes than that, and only "18" predicted scenarios. I do believe a few people compared Anthony Joshua VS Andy Ruiz to the scene in The Simpsons where Homer becomes a professional boxer too. Of course, its only so much alike, and not completely accurate down to every level, something which is often overlooked.
However, like I've mentioned there are some instances where its pretty crazy how they predicted it or lead to believe they have some sort of insider knowledge. The Higgs boson equation having being the most impressive. However, getting back on topic I don't think Matt Groaning, and his team actually have much insider knowledge at all, and they are now playing up to the fans by taking part in the "The Simpsons predicts things" movement. So, it goes without saying I don't think they know who Satoshi is, and I don't think it'll ever be revealed in their episodes. They have basically planted the seed in which if they do somehow make a prediction on who Satoshi is, then it will be trending everywhere, and everyone will want to watch The Simpsons from now on for fear of missing out. Although, if nothing happens, and they don't make the prediction it will simply be forgotten with no reputation loss, or viewership loss. Hence, its smart for producers to do this sort of thing.
As for other shows making "predictions" I expect Black Mirror to be one that predicts a lot of things in the future.
Yes, they shoot in all directions with hundreds of bullets, so it's normal they will hit some real things, although most of the shoots will be missed.
The Simpsons TV show works with subliminal message strategy. After an event happens in reality the fans start digging Simpsons' episodes to create a correlation between the event in real life and the TV show episode. Aware of it, Simpsons' directors added the message *we know who Satoshi is*, so if someday Satoshi's identity is revealed fans will find an *evidence* in this Simpsons' episode that will proove they predicted it before everyone else.