This is just my opinion and something for new people to think about..
I have read all about the correlation between combs and fertility..here is a conclusion from one study and a few Cites. There are tons of them on the web..
Buckland, R.B.; Hawes, R.O. 1968. "Comb type and reproduction in the male fowl: semen characteristics and testes structure." Poultry Science. 47(2): 704-710.
Crawford, R.D.; Smyth, Jr., J.R. 1963. "The influence of come genotype on mating behavior in the domestic fowl." Poultry Science. 42(2): 115-122.
Crawford, R.D.; Smyth, Jr., J.R. 1964a. "Studies of the relationship between fertility and the gene for rose comb in the domestic fowl. 1. The relationship between comb genotype and fertility." Poultry Science. 43(2): 1009-1017.
Crawford, R.D.; Smyth, Jr., J.R. 1964b. "Studies of the relationship between fertility and the gene for rose comb in the domestic fowl. 2. The relationship between comb genotype and duration of fertility." Poultry Science. 43(2): 1018-1026.
Hutt, F.B. 1940. "A relation between breed characteristics and poor reproduction in White Wyandotte fowls." American Naturalist. 74: 148-156.
Kirby, J.D.; Engel, Jr., H.N.; Froman, D.P. 1994. "Analysis of subfertility associated with homozygosity of the rose comb allele in the male domestic fowl." Poultry Science. 73(5-8): 871-878.
Kirby, J.D.; Froman, D.P.; Engel, Jr., H.N. 1993. "Analysis of subfertility associated with homozygosity of the rose comb allele in the male domestic fowl." Poultry Science. 72(suppl. 1): 106.
McLean, D.J.; Froman, D.P. 1996. "Investigation of metabolic activity of sperm from subfertile roosters homozygous for the rose comb allele (R/R)." Poultry Science. 75(9-12). suppl. 1: 76.
Petitjean, M.J.; Cochez, L.P. 1966. "Subfertility of cocks homozygous for the "R" gene (rose comb)." XIIIth World's Poultry Congress. 121-127.
Siegel, P.B.; Dudley, D.S. 1963. "Comb type, behavior and body weight in chickens." Poultry Science. 42(2): 516-522.
CONCLUSION
The studies done on comb type and its influence on behavior and fertility have shown that the comb genotype does indeed have an impact. Particularly in rose comb breeds, the gene for heterozygous rose comb is linked with poor reproductive ability. There are several factors that appear to contribute to this. RR males are less successful at courting females. They have a higher percentage of sterile matings, and have a much shorter duration of fertility. No difference was found in the fertility of RR females. From recent studies it appears that the biggest problem may be with sperm metabolism and motility, although the exact cause for low fertility in rose comb breeds has yet to be determined for certain.
Everyone is entitled to his or her own opinion..some of the stuff said in the last few pages is a bit scary to hear from me personally. I would never purchase birds from a rose comb line that has single comb introduced on purpose to improve fertility. Culling for production is part of raising chickens. Adding single comb to rose comb to increase infertility will add additional fertility problems. All comb types have there own unique fertility problems.