Parasite pages can handle a much more aggressive off site SEO approach than a newer domain one is trying to rank. With a newer domain I don't like to hit it with a ton of SEO but rather build up the level of intensity (link velocity) as that looks more natural and is common sense SEO in my opinion and experience.
A Parasite page is typically a part of a huge "conglomerate" site and typically already has a ton of off site SEO linking in so to go full bore, or close to full bore with your off site and be very aggressive is more the way to approach it.
Do understand this though that a lot of parasite pages won't maintain their rankings for ages so that can be more of a short term play and you may be build them on a regular (and you probably should even if you are building "regular" sites) as part of your overall IM strategy if site ranking is part of how you make your living on line.