The MP7722 requires large, expensive output capacitors, vs. a simple BTL configuration.
The MP7722 requires large and expensive Scottky diodes for output protection vs. low-cost internal protection.
MP7722 has 38 components in its application circuit, many large and expensive, vs. 13 low-cost components.
MP7722 requires 24V to achieve peak output power, vs. high power across the entire operating voltage range.
The MP7722 requires an external RC to set the oscillation frequency, vs. the option of internal fixed and internal spread-spectrum oscillation, or an external clock.
The MP7722 has noise sensitive single-ended inputs vs. noise rejecting differential inputs.
Benefits of the MP7722 over the MAX9708:
The MP7722 has 92% efficiency at 20W vs. 88% for the Maxim part.