We investigate communication emerging in noisy environments with the goal of capturing the impact of message disruption on the emerged protocols. We implement two different noise mechanisms, inspired by the erasure and deletion channels studied in information theory, and simulate a referential game in a neural agent-based model with a variable message length channel. We leverage a stochastic evaluation setting to apply noise only after a message is sampled, which adds ecological validity and allows us to estimate information-theoretic measures of the emerged protocol directly from symbol probabilities. Contrary to our expectations, the emerged protocols do not become more redundant with the presence of noise; instead, we observe that certain levels of noise encourage the sender to produce more compositional messages, although the impact varies depending on the type of noise and input representation.