The core of the discussed algorithm involves iteratively exploring all topologically-valid subsets and subsequently prioritizing the subset with the highest feerate to the forefront, categorizing it as a chunk. This process underscores the inherent similarity between the optimization strategies suggested by the participants and those already implemented within the algorithm.

Further discussion points towards an ongoing exploration for more efficient methodologies or proof of complexity regarding the optimization problem at hand. It is noted that there is no existing proof to classify the task of identifying the optimal linearization or selecting the highest-feerate topologically-valid subset as NP-hard. This opens up the possibility for the existence of a polynomial-time algorithm that could effectively address this optimization challenge, suggesting an area ripe for further research and development in algorithm design.