Latex has very low hysteresis, and butyl very high. Making a butyl tube very thin will certainly help reduce the losses, but even a thick latex tube has close to zero.
Latex is so much more supple than butyl it will always show lower rolling resistance and as a side effect (so to speak) will lower puncture risk as well due to its ability to conform around an object.
Latex inner tubes can have a very high lifetime, can be patched as easily as butyl, can weigh about 40% less and increase comfort as well. Ask anyone that rides decent tubulars, comfort contributes to efficiency no end.
The better latex inner tubes are invariably the unpigmented ones as the addition of pigment reduces the flexibility of the material no end.
Want a great tyre? Forget about anti-puncture belts, go silk casing with high tpi count and a fine latex inner tube.
I'm pretty sure it won't puncture that easily and will be way faster and lighter than anything else out there.
Anything else is just plain marketing bullshit really.