This cross-coupled load produce positive feedback which increasing speed (if w/l of cross-coupled fets are smaller than w/l of diodes) or provide histeresis if this fets are larger thane diodes.
Not really...
In the simplest case your load is made by diode conected mosfets. In this case You haven't any histeresis. After adding cross-coupled fets You provide positive feedback and now a two cases exists:
1. if W/L of cross-coupled fets are smaller than diode connected ones, a positive feedback increasing speed of your comparator by decreasing effective resistance of output nodes
2. if W/L of cross-coupled fets are higher than diode connected ones, positive feedback provides hysteresis.
So cross-coupled fets adding postive feedback resulting with higher speed OR hysteresis.