Do we care about the distance to the CMB? Clarifying the impact of
  second-order lensing
  It has recently been shown that second-order corrections to the background
distance-redshift relation can build up significantly at large redshifts, due
to an aggregation of gravitational lensing events. This shifts the expectation
value of the distance to the CMB by 1%. In this paper we show that this shift
is already properly accounted for in standard CMB analyses. We clarify the role
that the area distance to the CMB plays in the presence of second-order lensing
corrections.
