Is this because when the programmed the stellar forge they added the condition that no neutron stars must appear within the Bubble, but instead of using an "and" logical operator for the coordinate checks they used an "or", which caused no neutron stars at a cross centered at Sol that goes through the entire galaxy?
No - that affects the X and Z coordinates of neutron stars (or rather, excludes procedural ones from a certain set of X and Z coordinates) but the reason for neutron stars being much more common once you get past (roughly) +/-1000
Y coordinate is different.
Essentially:
- average system age gets higher as you get further from the galactic plane [1]
- neutron stars only appear in systems old enough for the original high-mass star to have gone supernova
- once you get far enough from the galactic plane, that's
almost all of the high-mass stars
So close to the galactic plane (Y=-25, since Sol is slightly above it) neutron stars are very rare (though do exist). Far from it, neutron stars are very common ... though until you get relatively close to the galactic centre, stars of
any sort are really rare at that sort of height.
If you're looking for procedurally-generated red giant stars, those have a similar pattern of being rare in most of the galaxy, and found commonly only in a pair of narrow slices of Y-coordinates above and below the plane (old enough to be in the brief red giant phase, not quite old enough to have become a white dwarf instead).
[1] This effect is real, though Stellar Forge does simplify it a bit, presumably for speed of calculation, leading to much stronger "banding" than the real galaxy has.