No, he doesn't mean eat fat while fasting. Eat healthy fatty foods when not fasting, but especially your last meal before commencing any fast should be as fatty as possible. Avocado, unsweetened peanut butter, haloumi cheese & egg fried in a healthy oil (such as rice bran, grape seed, etc), most nuts (especially pecan, macadamia and Brazil), olive oil-based salad dressing etc., are all good sources of healthy fats. The idea is that they put you in 'fat burniing mode', so you burn fat for fuel instead of carbs. Not only does that extend the benefits of your fast, but it will help you control your weight much better, and is also the basis of a much healthier diet longterm. Keeping carbs to an absolute minimum should be your longterm goal.
As for water fasting being easier than a dry fast, I find the opposite to be true. In my own experience, drinking water actually increases appetite, hunger pangs, feeling 'empty', etc. I find it much easier to control these signals when I'm not drinking water. Try it for yourself, if only to see how your body responds. You may be pleasantly surprised, and there's no need to go to any extremes. Try it for a day initially, then water fast. Then 2 dry days, etc, until you reach 5 dry days.
But don't stick rigidly to that regimen if you experience genuine thirst. Thirst should always be quenched, else you risk damaging your kidneys. Learn to 'listen' to your body. It will always tell you what it needs. Just don't give it any food while your fasting, otherwise it isn't really a fast. It would be more accurate to call it a diet, even if it's an extreme diet.