Maybe some kind of hindsight bias is at work, but I think I would have found Statement 2' a lot less crazy than Statement 2: the latter requires there being several billion male prostitutes, which (assuming that less than 20% of all males will be prostitutes and about 50% of all people will be male) would require a world population of several tens of billions.

(One of the main reasons why I would've found Statement 1' very unlikely is the “exactly 670616629.2” part, but I'm sure that was not your point: I'm sure you would assign a much lower prior to “I (army1987) generated a random 32-bit number a few minutes ago and it was 735,416,352” than to “... and it was more than 1 billion”, but you won't be shocked to know only the former is true. So I'll pretend it said “between 600 and 700 million miles per hour” instead.) I think I would've found Statement 1 crazier than 1', too: the idea that one particular colour (within the convex hull of the set of all colours I've seen before) has quasi-magical powers but an ever-so-slightly bluer or greener one has no weird properties at all sounds pretty bizarre to me (and possibly unfalsifiable, if there exist infinitely many colours), in a way that the idea that there is a speed (several orders of magnitude larger than anybody ever experienced) such that weirder and weirder things happen the closest you get to it wouldn't.