At first sight, the "effects of current loading" would be described as an internal resistance. It's existence shouldn't be too surprizing.
If you look for the details, you'll notice, that capacitors and switch resistance are both affecting it, depending on switching frequency to RC relation, either one or the other will dominate. Needless to say that cadence can help you to find out the exact behaviour.
The presented circuit is a somehow unusual voltage multiplier, as a confusing point, most of the input power is actually supplied by the clock source. Don't know how it's modelled in your setup.