  There is substantial and growing observational evidence from the normalized
luminosity density in the near-infrared that the local universe is under-dense
on scales of several hundred Megaparsecs. We test whether our parameterization
of the observational data of such a "void" is compatible with the latest
supernovae type Ia data and with constraints from line-of-sight peculiar
velocity motions of galaxy clusters with respect to the cosmic microwave
background rest frame, known as the linear kinematic Sunyaev-Zel'dovich (kSZ)
effect. Our study is based on the large local void (LLV) radial profile
observed by Keenan, Barger, and Cowie (KBC) and a theoretical void description
based on the Lema\^itre-Tolman-Bondi model with a nonzero cosmological constant
($\Lambda$LTB). We find consistency with the measured luminosity
distance-redshift relation on radial scales relevant to the KBC LLV through a
comparison with 217 low-redshift supernovae type Ia over the redshift range
$0.0233 < z < 0.15$. We assess the implications of the KBC LLV in light of the
tension between "local" and "cosmic" measurements of the Hubble constant,
$H_{0}$. We find that when the existence of the KBC LLV is fully accounted for,
this tension is reduced from $3.4\sigma$ to $2.75\sigma$. We find that previous
linear kSZ constraints, as well as new ones from the South Pole Telescope (SPT)
and the Atacama Cosmology Telescope (ACT), are fully compatible with the
existence of the KBC LLV.
