One of the main advantages of reduced model is the possibility of addressing the role of individual parameters that cannot be changed in isolation in the experiment. We use the reduced model to provide some insight on the observation that the highest mobility polymer does not have very broad valence bands, i.e., the electronic coupling along the chain is not critical for high mobility polymers. We find that there is indeed a range of the inter-monomer transfer integrals where the transfer integral has little effect on the mobility with everything else being the same. An additional advantage of constructing reduced models is the possibility of performing more accurate quantum dynamics calculations if desired. We expect for example that for very high mobilities one may want to consider models that retain some element of coherent transport and for very low mobility one should include the possibility for trapped charges to hop to a different chain. Table : List of monomer pairs corresponding to the 28 polymers screened (shown in green in Fig. ). Each monomer pair (column 2) is represented using the monomer indices given in column 1 of Table . 𝐴 𝑛 and 𝜏 (0) have the same meaning as described in the main text, section II. 𝜃 𝑚𝑖𝑛 represents the position of the torsional potential minima while 𝑆 𝜃 is the torsional entropy at 300 K, which assesses the range of accessible torsional angles. 𝜎 𝜏 /〈𝜏〉 provides an estimation of the static disorder of the electronic coupling along the connecting bond between the monomer fragments.