It appears that BG , PS and GSF are common crosses but that RES and PS crosses are not common because in the wild there populations do not overlap like those of BG , GSF and PS. PS and RES are closely related genetically. Will keep looking but I don't doubt that RES X PS are possible due to the genetic closeness.
Thought you might get a laugh out of the quip below - one of the writers was female.
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HYBRIDIZATION AND INTROGRESSION AMONG SPECIES
OF SUNFISH (LEPOMIS): ANALYSIS BY MITOCHONDRIAL
DNA AND ALLOZYME MARKERS
JOHN C. AVISE AND NANCY C. SAUNDERS
Female Lepomis also have behavioral predispositions
toward prosmiscuity, since observations indicate that “many females may
visit one nest and one female may visit several nests” (BREDER 1936). Our data
suggest that absence of conspecific pairing partners and mating stimuli for
females of rarer species may be an important factor in increasing the likelihood
of interspecific hybridization.