In general "warmer" CFLs have a better CRI.
You can trade off energy efficiency for CRI. This is true for LEDs as well. So if you don't need great color then go for a lower CRI since you'll save energy on the light output.
But because of that, when comparing energy efficiency of LEDs vs CFLs you MUST use a comparable CRI, otherwise it's not a fair comparison.
But I'll save you time: There are no commercially available LEDs that beat CFLs in energy efficiency for the equivalent CRI.