I'm beginning to get where you're coming from, Sig, but I need to strongly disagree with your observation that the exchange rate moves according to the IR differential. Your posts make it sound as if a +x% carry would result in a -x% CCY move, although I'm not 100% sure that's really what you're trying to say.
It wouldn't be true. The relationship above would describe the uncovered interest parity theory (UIP), and UIP has been shown to be violated both in academic research and in real-money investing. On average, positive carry has outweighed CCY depreciation, i.e. forward prices do not predict future spot prices. On top of that, if you look at the data since the financial crisis, forwards have been priced as spot price + IR diff + cross-currency basis. Before the crisis, the basis was very close to zero. Today, it's fluctuating wildly for many currencies. So I'd argue that even covered interest parity (CIP) doesn't hold anymore in today's world of "return-free risk". Forget what the textbooks say.
Finally, whether buying a higher-interest CCY should be called a "carry trade" is a semantic argument and beside the point in the context of this thread. My answer to the OP's question remains: Yes, there are currencies that offer positive carry, and yes, you can earn that carry. Just don't be fooled into thinking that a buy-and-hold approach to the carry trade will always turn out positive for you no matter the time frame. Intermittent drawdowns are brutal and can wipe out several years of profit. Like they say, "Picking up pennies in front of a steamroller." I guess we do agree on that.