I'm not comparing processors, I'm stating that specs aren't the be all end all. For people who love specs, yes. But I've used that Android 4.1 on a phone with the same specifications, and an older processor, and I can tell you first hand that having lower specs really isn't going to be noticeable.
If this phone was running 4.0 I would agree it might be a mess. But there's an enormous leap in functionality between the two, and 4.1 is much easier on processors than older OS. I mean, you cite benchmarks and that's fine, but look at an SIII running 4.1 and it beats the i5 in raw numbers. Still, I can argue that the iPhone 5 is just as smooth or smoother than an SIII running anything.
I'm not even sure the mini can be considered a flagship phone like the SIII can.
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I'm a betting man, so I know bets aren't always right. Underwhelming specs do not equate poor experience at all. As I said in response to another poster, you can assume, but it is not a certainty. Android 4.1 does a lot with a little. It isn't on many devices, but it is on this one. The end experience may very well be enjoyable.