  We investigate the dependence of the $L^1\to L^\infty$ dispersive estimates
for one-dimensional radial Schr\"o\-din\-ger operators on boundary conditions
at $0$. In contrast to the case of additive perturbations, we show that the
change of a boundary condition at zero results in the change of the dispersive
decay estimates if the angular momentum is positive, $l\in (0,1/2)$. However,
for nonpositive angular momenta, $l\in (-1/2,0]$, the standard $O(|t|^{-1/2})$
decay remains true for all self-adjoint realizations.
