  In our previous analysis we investigated the large-scale environment of two
samples of radio galaxies (RGs) in the local Universe (i.e. with redshifts
z<0.15), classified as FR I and FR II on the basis of their radio morphology.
The analysis was carried out using i) extremely homogeneous catalogs and ii) a
new method, known as cosmological overdensity, to investigate their large-scale
environments. We concluded that, independently by the shape of their radio
extended structure, RGs inhabit galaxy-rich large-scale environments with
similar characteristics and richness. In the present work, we first highlight
additional advantages of our procedure, that does not suffer cosmological
biases and/or artifacts, and then we carry out an additional statistical test
to strengthen our previous results. We also investigate properties of RG
environments using those of the cosmological neighbors. We find that
large-scale environments of both FRIs and FRIIs are remarkably similar and
independent on the properties of central RG. Finally, we highlight the
importance of comparing radio sources in the same redshift bins to obtain a
complete overview of their large-scale environments.
