There are a LOT of games simmed every day on this site. There are considerably more games simmed here every year than there have been in the entirety of MLB history. Weird things are going to happen when given that kind of quantity. I have no idea the actual number, but at what seems a very low estimate, if there are 30 leagues going, 24 teams a league (making 12 games), playing 3 games a day, that makes 1080 games DAILY. At that low estimate, something with a 0.1% chance of happening is going to happen DAILY. Something with a 0.0585% chance as mentioned above will happen almost 19 times every month.
Keep in mind, in determining the likelihood of a winning streak in any league, the probability of each game is not 50/50. There's usually at least one unreasonably bad team in each league (there's one in the division of the linked example above). These games are almost automatic wins for a good team. Even then, a 14 game winning streak is very good and quite unusual, but hardly unheard of. Now, if you were to see that happen 20 times during a season, I would say you have a case, but a few isolated examples aren't going to convince anyone - they are actually to be expected as part of random chance.
In the end, you can choose to believe whatever you want about how the game works, but do so considering this: Most of the people posting in this thread that disagree with you have played at least 100 TIMES as many games as you have and have winning records. They have been students of how to play the game for a decade or more. They have absolutely nothing to gain by trying to deceive you. Is their combined experience really less influential to you than a few hand-picked counterexamples?