  Kinematic lensing (KL) is a new weak lensing technique that reduces shape
noise for disk galaxies by including spectroscopically measured galaxy
kinematics in addition to photometrically measured galaxy shapes. Since KL
utilizes the Tully-Fisher relation, any correlation of this relation with the
local environment may bias the cosmological interpretation. For the first time,
we explore such a Tully-Fisher environmental dependence (TED) effect as a
potential astrophysical systematic for KL. Our derivation of the TED systematic
can be described in a similar analytical form as intrinsic alignment for
traditional weak lensing. We demonstrate analytically that TED only impacts KL
if intrinsic aligment for disk galaxies is non-zero. We further use
IllustrisTNG simulations to quantify the TED effect. Our two-point correlation
measurements do not yield any additional coherent signals that would indicate a
systematic bias on KL, within the uncertainties set by the simulation volume.
