The differences between the two battery systems are a function of the electrolytes they use.
Potassium hydroxide (KOH) is a much more active alkaline solution and can carry much higher currents than the less active sodium hydroxide. This is why all the standard alkaline round cells (like AA, C and D) batteries in the world use KOH as the electrolyte for that battery system.
A high-drain watch typically is digital, but can be analog, and will have features:
All of which require high amounts of current to operate, particularly in cold conditions.
Low-drain watches typically are: