You wouldn't be able to distinguish between:
A) A universe with God;
B) A simulated universe (where the simulation due to the nature of being simulated will have all the characteristics that lead to the conceptualisation of God, hence being indistinguishable);
C) A fake universe - for similar reasons as the simulation, and conceptually being the same as a simulation, it will exhibit all the same characteristics - the equivalent non computational example would be seeding a planet with humans and letting them go about their lives while keeping an eye on them and intervening when wanted, or the story shown in Truman’s Show - the fake here refers to it not being what it seems, not to it not existing;
D) A universe where consciousness IS the essence of it and what gives rise to it in the first place, making every manifestation in it be direct manifestations of that consciousness and being effectively intertwined to the point where conscious parts can in some way affect the global consciousness and vice-versa, this eventually leads to the idea of A God as well, but is not "God" in the way we usually define it, it just quacks like it;
E) A universe different from all the previous descriptions, as in without an overarching conscious form modelling it - the fact that you would then have both free-will and subjective experience of it (since I think no one will argue that you can NOT "experience" things objectively) would probably lead you (or someone) to formulate any of these other ideas - simply because the universe to be experienceable has to have certain minimal rules - given that the rules/laws supersede the abilities of the subjects (cannot be/have been made by the subjects describing them themselves) it can look like any of the other universes.
A totally random universe doesn't seem to make sense because for it to exist in any way experienceable it has to have at least certain laws that govern its manifestation and any possible perception by “anything” in it, at which point it stops being completely random and has to be one of the other 5 descriptions, which again, will all be indistinguishable.
If this makes sense for you then:
> It is for our own good to surrender to a greater design than our own finite understanding
may or may not be a valid proposition. If you cannot distinguish between them then you have to assume that it might not make sense to blindly "surrender" to a greater design.