I’m not sure what to say to that. Are you asserting that fat is a form of sugar? I don’t believe that to be case. One of the obvious differences is that sugars are water soluble, but fats are not.

Triglycerides do contain a glycerol backbone, but aren’t sugars. In any case I will revise my statement. Don’t eat carbohydrates, get your nutrition from protein and the associated fat.

Edit:

All of our energy comes from turning food into glucose.

In lipolysis, our bodies break down triglycerides into both fatty acids and glycerol. Most of our cells are also able to metabolize fatty acids for energy, not just glucose.

You couldn’t survive if you didn’t have some form of sugar in your diet.

Unless we conflate fat with sugars, it is perfectly possible to survive (and indeed thrive!) without eating any form of sugar at all. Again, the human body is capable of making all the glucose it needs.