  Imperfections from devices can result in the decay or even vanish of
non-n-local correlations as the number of parties n increases in the polygon
and linear quantum networks ([Phys. Rev. A 106, 042206 (2022)] and [Phys. Rev.
A 107, 032404 (2023)]). Even so this phenomenon is also for the special kind of
noises, including consistency noises of a sequence of devices, which means the
sequence of devices have the same probability fails to detect. However, in the
paper, we discover that star network quantum non-n-local correlations can
resist better consistency noises than these in polygon and linear networks. We
first calculate the noisy expected value o f star network non-n-locality and
analyze the persistency conditions theoretically. When assume that congener
devices have the consistency noise, the persistency number of sources n has
been rid of such noises, and approximates to the infinity. Polygon and linear
network non-n-local correlations can not meet the requirements. Furthermore, we
explore the change pattern of the maximal number of sources nmax such that
non-nmax-local correlation can be demonstrated in the star network under the
influence of partially consistent noises, which is more general than consistent
ones.
