hybrid halogen CFL bulbs / bulb lifespans

One of my CFL light-bulbs has been acting odd. When I turn the light switch on, the bulb comes on. But after about 30 seconds, it goes dark. I tried swapping its position with a different bulb, and it did the same thing in the new position.

I found this stackexchange page: Why would a CFL bulb dim by itself after 60 seconds? which suggests the bulb may be a hybrid halogen/CFL.

These bulbs have a halogen bulb inside the CFL swirl. The theory is that the halogen is used when the light is first turned on, providing instant light. The waste heat from the halogen bulb helps to warm the CFL, allowing it to reach full brightness quicker. The halogen is turned off after the CFL has warmed up...
once the CFL fails, you'll have a bulb that lights for a minute, then turns out on its own.

I don't remember buying any hybrid halogen CFLs, and that is something I think I'd remember. But sure enough, when I turn the bulb on, it gets bright in the middle, and you can see the darker shadows of the CFL swirl around the center brightness. The 2nd of this set (I originally bought a pair) still works normally, and I can see its CFL swirl brighten whereas the broken one's doesn't.

This article on the bulbs includes a photo of the packaging: GE Lighting to promote halogen-CFL hybrid bulb with Target.
The packaging (the front side, at least) doesn't mention anything about the bulb being a hybrid or containing a halogen bulb in addition to the CFL. So at least I wasn't inobservant when I bought these. I remember being drawn to them due to their having a smooth glass capsule around the CFL, similar to incandescents.

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This article mentions something interesting that I hadn't heard before: Burned Out on CFLs? We Address the Real Issues and Solutions

projected CFL lifespans are based on a three-hour run time per start. In other words, during CFL testing, bulbs are cycled on for three hours and off for 20 minutes until half the samples have failed. If you turn them on frequently for less than three hours at a time — as I do in my bathroom — you’re in for a surprise.

"Incandescents are somewhat immune to the number of times you switch them on and off," Leslie says, "but the electrodes inside a CFL are stressed with each burst of starting voltage, and will eventually degrade and fail. With a CFL, the number of starts is the primary factor for determining how long it will last; the number of burning hours is secondary. A CFL rated at 10,000 hours in the three-hour-on standard test might last only 4,000 hours if left on for only 15 minutes per start."

So that may explain why in my experience too, CFL bulbs seem to have a much shorter life span than advertised.

My hybrid bulb that stopped working can't be older than 5 years, as it wasn't even available until Spring 2011. It may have even burned out a year or more ago, as I remember seeing it going out before, but as it kept "working" again, I thought it was just a bad connection or something.

LED light bulbs are also advertised as having long lifespans. I wonder if frequently turning them on and off reduces their lifespans too.