  In his 2021 lecture to the Canadian Association of Physicists Congress,
P.J.E. Peebles pointed out that the brightest extra-galactic radio sources tend
to be aligned with the plane of the de Vaucouleur Local Supercluster up to
redshifts of $z=0.02$ ($d_{\rm MW}\approx 85~\rm{Mpc}$). He then asked whether
such an alignment of clusters is anomalous in the standard $\Lambda$CDM
framework. In this letter, we employ an alternative, absolute orientation
agnostic, measure of the anisotropy based on the inertia tensor axis ratio of
these brightest sources and use a large cosmological simulation from the
FLAMINGO suite to measure how common such an alignment of structures is. We
find that only 3.5% of randomly selected regions display an anisotropy of their
clusters more extreme than the one found in the local Universe's radio data.
This sets the region around the Milky Way as a $1.85\sigma$ outlier. Varying
the selection parameters of the objects in the catalogue, we find that the
clusters in the local Universe are never more than $2\sigma$ away from the
simulations' prediction for the same selection. We thus conclude that the
reported anisotropy, whilst note-worthy, is not in tension with the
$\Lambda$CDM paradigm.
