It's exactly the same thing. Mosely had his privacy violated by News International. Thiel had his violated by Gawker. Mosely set up a war chest to assist those taking legal action against News International. Thiel did so for those taking action against Gawker. Both had an axe to grind with news organisations they felt were behaving badly. Both assisted individuals with legal cases that would have otherwise gone nowhere because of the high cost of the legal system. Both News International and Gawker have relied on this in the past.
Where are the differences?