First, I would note that they upped that limit when asked to. Second, you don't think they get totally careless when they have no limits on direct deletion? I have seen that carelessness. But I've also actually read through many of the mass DMCA notices that have been made public. For example, that one where someone took down the TD article on SOPA. It wasn't even hard for me to find the links that didn't belong just by skimming through the notice[1]. Or some in the Viacom v. YouTube case, where Viacom found out several times that it was taking down files it had, itself, put up. And this after Viacom's expensive lawyers were supposedly finished going over everything with a fine-toothed comb.
Lastly, you might want to reread Sony Betamax, particularly the part about how a service capable of substantial non-infringing uses can be legal even when they know it is often used for infringement. Sure, you're probably not aware of those non-infringing uses because those people kept their files relatively private, rather than distributing them to all and sundry, but ignorance cannot be made into much of an argument. You seem to think of it as a "pirate site" and I doubt I can change your mind, no matter how many non-infringing users I could find. It's a hard point to make when the infringing uses were necessarily public and the non-infringing uses were almost all private.
Yes, I am aware that you could come back with better arguments than the statements you've made upthread that argue directly against Betamax, but I'll let you make your own. You're also entitled to think that Betamax was a bad ruling, if you like, but if that's the case I'll simply have to disagree. After the long history of hyperbolic comments from industry leaders about how every new mass-distribution technology would kill the industry, I would not like to see a future without the Betamax ruling.
[1] http://www.techdirt.com/articles/20120223/15102217856/key-te...