M. Daher [Canad. Math. Bull. 38 (1995), pp. 286–294] showed that if
(
X
0
,
X
1
)
(X_0, X_1)
is a regular couple of uniformly convex spaces then the unit spheres of the complex interpolation spaces
X
θ
X_{\theta }
and
X
η
X_{\eta }
are uniformly homeomorphic for every
0
>
θ
,
η
>
1
0 > \theta , \eta > 1
. We show that this is a rather general phenomenon of the interpolation methods described by the discrete framework of interpolation of Lindemulder and Lorist [A discrete framework for the interpolation of Banach spaces, https://arxiv.org/abs/2105.08373, 2021].