Speaking as someone who just bought a Haswell convertible, the only problem is Windows 8. I've got a touchscreen convertible with an SSD and eight hours of battery life, and I don't want that horrible abortion of an OS.
Okay, it turns out that you're right. I don't understand the convertibles thing either. Why would you want to do that with Windows? The best, by far coolest, reason I've found is that I can have a laptop where the keyboard isn't attached to the screen, so I don't kill my back, and the screen can be put in profile mode, so I can work on full pages. Good grief, this fad is the sorriest excuse for something hip since the baby boomers started the SUV craze ("Finally, a car I don't have to lean down to enter").
Yes, for a Tablet, I use a Tablet (and with a 7.7" AMOLED screen, like they used to make back in the old days); for a desktop, I use a desktop (with a Model -May God Continue to Bless America- M keyboard, and an embarassment of screens. But for something portable, I've got this convertible monstrosity.
Why?
Well, a low-velocity body-computer bag-ground impact wiped out my Windows 7 netbook. That's why I buy 'em cheap. And, Windows 8 wiped out any cheap Windows 7 netbooks. That's why the drop off. Sure, I HAD to buy a portable computer. Otherwise, why the hell would I spend money on that abomination unto the Lord known as Windows 8 (or 8.1 -- "8+ iterations and we still haven't figured out that pixels don't correspond directly to use visibility").