In this case, L1 has chunk feerates of 5, 4, and 0, and L2 has chunk feerates of 4 and 3. Following the methodology of bestPi, starting with the intersection of L2 and the singleton list containing the element 5, results in an output list of [5,8,3,1,0]. This approach might differ from an alternative method where $C_1$ and $C_2$ are calculated and compared, which would yield a different result: [8,5,3,1,0].

Furthermore, it's suggested that even if there are discrepancies in the output, post-processing techniques as discussed in a linked forum thread on linearization and chunking may resolve inconsistencies for simpler cases. The underlying principle is that as long as the merging process yields a result that is at least as optimal as the original lists, the efficiency and cost-effectiveness of the process take precedence over absolute accuracy. This practical approach prioritizes speed and reduced computational expense over perfection in the merging process.