There's nothing wrong with this advice, except I would add that it's critical to ensure you don't have any significant dietary deficiencies.

I suspect that one of the reasons weight loss efforts stall or rebound is that deficiencies are a problem, and metabolic efficiency is compromised as a result.   Also, when you have a dietary deficiency, your body will be hungry in an effort to prompt consumption of the nutrients it needs.   This is an oversimplification of what's going on, however, I've found this approach works to support very gradual weight loss without calorie counting.