This work investigates the effectiveness of frame synchronisation of non-separable factorial codes under conditions of correlated errors, which better reflect real wireless communication channels compared to independent errors. The aim is to evaluate the efficiency of the synchronisation method using simulation models of data transmission systems exposed to both random and burst bit errors. To reproduce the phenomenon of error packetization, the Gilbert-Elliott model was employed, since it provides a realistic representation of bursty errors in communication channels. The study compares synchronisation performance under independent errors and under conditions with varying degrees of packetization. Special attention is assigned to the role of interleaving procedures applied to received fragments. Simulation results demonstrate that packetized errors significantly influence synchronisation stability. Interleaving improves performance by dispersing clustered errors, making synchronisation more reliable. These findings highlight the importance of considering burst error structures and interleaving when designing robust synchronisation methods for modern wireless communication systems.