Not Entirely..
you see RIR are based on the none Autosexing gene trait Wheaten and while wheaten x wildtype(autosexing e allele) chicks can look wildtype in nature, not all of them do, so they are not Pure per say but only due to them being e+/eWh instead of pure e+/e+
I have posted this in this thread before but I will do it again..
best thing you could do is cross Males from that cross that looked wildtype when they hatch and had a headspot while chick.. when these males are full grown they will look dark red barred, I would take these males and cross them back to RIR and be in the look out for better e+/eWh B/b+ males , these second generation males will be superior to the F1s,