The mostly likely reason is probably familiarity. Most languages use the 'new' operator to create new objects, so it seems natural to follow the same pattern when creating a JS API that will likely be consumed by people who come from other languages.

The main advantage of Douglas Crockford's power constructor pattern is that it allows truly private variables or functions. I used to be adamant that this was the right way to go (and I still appreciate the pattern), but then I found that just following the convention of prefixing private members with an underscore worked fine--most people understand that it means "private". My code also started to look a little neater. All of my instance members are actually tied to the 'this' context object, rather being spread between nested functions or local variables declared within the constructors, and public/privileged methods declared on the new object itself.