The shake needs more protein. This blog post cites a study that indicates 1.6g/kg being the optimal protein amount for fat loss. Two scoops of whey instead of one would probably be fine.

If Eliezer consumed this for a month and didn't lose any weight, I'd conclude that his maintenance metabolism is, on average, 1866 calories.

I don't know what he's tried to do to lose weight (just signed up here recently and only read the sequences), but any competent nutritionist or coach starts off by collecting data. Height, weight, body fat percentage, waist measurement, etc. these are useful for tracking progress. For making changes, you have to have a baseline diet/metabolic level -- this means a 2-3 week food log (calories, g/protein, g/fat, g/carbs, food type) and morning bodyweight measurements. This information gives you your average metabolic rate. From there, you make small adjustments to get progress going.

When I did the ketogenic diet, I lost weight pretty steadily on 1200 calories a day. I was almost entirely sedentary and went from 200lbs to 170lbs. I didn't know enough at the time to just measure my intake for a while, but after some tweaking, I found that my maintenance intake was around 1500-1700 calories. If I had just ate 1500cal like most calculators and recommendations said, I'd have spun my wheels and made 0 progress.