Not really, not for the light cone case. You could maybe make a case that it’s in some way less “real” than anything causally connected to you, but I’m willing to basically assign it reality.
I think the idea of attaching a probability to whether it’s real badly misses the point, though. That’s not necessarily the kind of proposition that has a probability. First you have to define what you mean by “real” or “exists” (and whether the two mean the same thing). It’s not obvious at all. We say that my keyboard exists, and we say that the square root of two exists, but those don’t mean the same thing… and a lot of the associations and ways of thinking around the world “real” get tangled up with causality.
But anyway, as I said, for most purposes I’m prepared to act as though stuff outside my light cone exists and/or is real, in the same way I’m willing to act as though stuff technically inside my light cone exists and/or is real, even when the causal connections between me and it are so weak as to be practically unimportant.
The problem in the “outside the light cone” trade case is more about not having any way to know how much of whatever you’re trading with is real, for any definition of real, nor what its nature may be if it is. You don’t know the extent or even the topology (or necessarily even the physical laws) of the Universe outside of your light cone. It may not be that much bigger than the light cone itself. It may even be smaller than the light cone in the future direction. Maybe you’ll have some strong hints someday, but you can’t rely on getting them. And at the moment, as far as I can tell, cosmology is totally befuddled on those issues.
And even if you have the size, you still get back to the sorts of things the original post talks about. If it’s finite you don’t know how many entities there are in it, or what proportion of them are going to “trade” with you, and if it’s infinite you don’t know the measure (assuming that you can define a measure you find satisfying). For that matter, there are also problems with things that are technically inside your light cone, but with which you can’t communicate practically.
I would expect politics to invade both the selection of questions and the process of deciding which predictions were accurate. It’s not uncommon for people to say that a political question isn’t a political question, and which questions you think of can also be political. And if you have questions like “Will inflation rise under the Trump administration?”, you have to contend with the fact that you’d most naturally get those inflation numbers from… the Trump administration. Which has already fired labor statisticians for producing unemployment numbers it didn’t like.