What does this sentence mean? "there are few who would not..."

This is a sentence taken from a textbook on translation:

(Original sentence) Aside from abnormally lazy people, there would be very few who would not want to earn more than the minimum.

The standard translation for this (translated back to English by myself) is

(Standard translation) Aside from abnormally lazy people, there would be very few who would want to earn barely more than the minimum.

Edit: An answer says this standard answer is hard to understand. I am not sure why it is hard to understand. Even harder than the original? The standard answer is given in my native language, and means exactly as written above. Anyway, please note that, in my native language the standard answer implies that "most people want to earn a lot of than the minimum", in case anyone else finds it hard to understand.

Questions:I think the original sentence could be ambigious because I can interpret it in two ways:

Aside from abnormally lazy people, there would be very few who would not want to earn (a lot) more than the minimum = most people want to earn a lot more than the minimum.

or

Aside from abnormally lazy people, there would be very few who would not want to earn (barely) more than the minimum = most people want to earn barely more than the minimum. (although this doesn't make much sense in the context)

1. Is the original sentence correct? Does it make sense? Does it sound natural to native speakers

2. What does the original sentence mean? Does it mean the same as the standard answer?

Edit: I've found the source of this sentence: The Sane Society by Fromm and Anderson. I guess this answers my first question automatically. Now, given this context, what would the original sentence mean, if explained in a less twisty way?