Sure are some great retrospectives from reading this thread. People really thought Intel was going to take over the smartphone market by 2015.
3-4 years on - what happened to this? Could Intel make a CPU with one core that's the main more powerful one for single threaded work, then smaller less powerful cores for multithreaded work? Nothing like big.little done with Intel?
The big.LITTLE concept has never really been about improving throughput. Most workloads on the devices it targets just don't scale in a way that would get better performance out of many smaller and more efficient cores. For workloads like that Intel pushes Xeon Phi instead, which can be paired with a conventional Xeon in the same system for a setup like you're talking about.
In theory the main differentiation between Atom and the Core-series CPUs was supposed to be power efficiency, with Atom making the most sense in phones and tablets. In practice, the biggest differentiation seems to have always been price. That's not to say Atom cores don't have a perf/W advantage for at least some part of the perf curve, this just doesn't seem to be their real market driver.
Atom continues to do poorly in the phone market and Intel is consequently losing more and more interest. It only really does okay in markets where it's found in cheaper devices than Core alternatives. Like the lower end tablets, laptops/convertibles and desktops. Even the server-oriented Atom SoCs are more about cost value vs Xeon D than efficiency.
They could do an SoC with 2 Skylake + 2 Airmont cores if they wanted to. But those Airmont cores aren't really that tiny, not compared to Cortex-A53s. And they have a decent minimal cache footprint. There'd need to be a lot of added plumbing to make that work right (this is something that came easier to ARM from the get go because they've always designed with modularity in mind). It'd be a big design effort that would only really kind of sort of make sense for Surface-like tablets, so a relatively small market for a chip that'd be substantially larger than the normal 2 core Skylakes. Low volume, larger chip, substantial added R&D all add up to a big price premium. I doubt the market demand would justify it.
Maybe if there was a serious shot of getting such a thing in phones and taking any real market share it could be on the table.. but that's just not looking like it's going to happen.