If is not a camera fov problem than based on your data, your moon is slightly smaller than the real thing but is also a tad near than the real thing, so it should look visually, similar to what it does here on Earth, the only reasons I can think that it does not, are the following.
One is a computer game and you are looking at it from a flat screen (I assume is not a VR game) and that changes the way our brain sees distant objects, two in the real world, looking at it from the ground (that is not the case here) the Earth atmosphere, acts slightly as a lens and enlarges the moon but is not a huge effect, third and more probable reason, for what we are seeing the so called "Moon Illusion"
https://www.scientificamerican.com/artic...and-the-s/
Even thou, personally never saw the moon from space, so that could be correct...
IMO in this case the only thing you can do to get the effect you want, is to really fake the distances.
edit:: didn't saw your new comment but I will let mine stay, it has imo useful info, even thou in this case it seems, this was just a camera FOV problem.