A bigger calorie deficit will result in faster weight loss.  

This concept is valid to a point, but eventually, you will reach a point where your body responds by slowing metabolism.  The fact is if we eat too many calories and over time, our bodies will store excess calories or energy as fat.  If you eat fewer calories, your body will mobilize fat stores in order to provide energy.  This mobilization will result in your body reducing fat.  But, if the deficit is too low for an extended period, your metabolism will slow and weight-loss progress be less than expected.  It is important that you walk the fine line between caloric balance and too few calories.

The bottom line: It is important to maintain balance.  Moderation and slow progress are important to maintain the speed of weight loss.  Too fast may hinder your ability to lose weight in the future.