I think that the caveat that "This rule is used because no-limit play may require a large number of chips be put into the pot" is essential here.

For example, if a player says "raise" and then puts 1 $100 chip in the pot and then goes back to his stack for another single $100 chip, then he is not abiding by the spirit of the rule.

On the other hand, if he puts in a full stack of chips and then goes back immediately for another full stack of chips, then that would make sense.