In this work we investigate the strength scaling of wet fiber networks with the help of particle level network simulations. The objective is to identify the factors that control wet strength distributions and the way it changes with the size. This question is relevant for wet strength runnability. The simulations show that if the mean values of network properties are kept constant by process conditions, the disordered structure of the network produces only small scatters in strength for a sufficiently big network. The strength distribution at small scales does not follow weakest-link scaling with neither change of length nor width, presumably, due to the fact that "damage" clusters are too big compared to the size of considered networks.