Interpolation and peak functions for the Nevanlinna and Smirnov classes

It is known (implicit in [HMNT]) that when $\mathrm{\Lambda }$ is an interpolating sequence for the Nevanlinna or the Smirnov class then there exist functions $f_{\lambda }$ in these spaces, with uniform control of their growth and attaining values 1 on $\lambda$ and 0 in all other ${\lambda }^{\mathrm{\prime }}\mathrm{\ne }\lambda$. We provide an example showing that, contrary to what happens in other algebras of holomorphic functions, the existence of such functions does not imply that $\mathrm{\Lambda }$ is an interpolating sequence.