When Chiral Symmetry was exact, as it was before EWSB due to the lack of mass terms for quarks, would the residual strong force have infinite range? Related to this, does the Negative Beta Function apply for the Nuclear Force, or does it only affect the Strong Force within nucleons?
Before EWSB, chiral symmetry is still broken by the yukawas, that is there is a Higgs quarks vertex that breaks explicitly $SU(2)_L \times SU(2)_R$. Therefore, the pions would still be massive and hence mediating a short range residual nuclear force. Moreover, it doesn't make much sense thinking about 'before' the EWSB since you are looking at pions interacting with nucleons, that is at scales well below the Higgs vev. As for the last part of your question, I don't think I understand what negative beta function you are referring to.