Mesh is related to size of your particles. This can have an influence on swelling and diffusion. However the influence on synthesis efficency is not that big compare to other parameter such as linkers or loading. Excepte if you are targetting à very specific peptide (hydrophobic or prone to aggregation per exemple), the mesh size is not that important.
Here is an interesting paper that compare influence of resin caracteristics on swelling.
Amadi‐Kamalu, C., Clarke, H., McRobie, M., Mortimer, J., North, M., Ran, Y., … Willway, H. (2020). Investigation of Parameters that Affect Resin Swelling in Green Solvents. ChemistryOpen, 9(4), 431–441. doi:10.1002/open.202000030