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Yep, Penny got it...
The key to autosexing is barring and wildtype.... crossing this way would give you female of no use, and the roos would only be single barred (and half wheaten).
So... while you would have males with one of the two barring genes... you'd have to then cross that male back to the Rhodebar female to make any progress.
That BC1 would result in half of the females being barred, but only half of those would be e+e+.
For the males... half of those would be single barred (cull), but half of the remaining double barred would be e+e+.
So... in theory... after two generations you could produce some improved RB... 1/4 of the males and 1/4 of the females... IF you could tell the e+e+ from the e+eWh... and IF they were easily autosexed and bred true.
It's just a longer more difficult way to get there.
That said... RB males are easy to come by if you have nice HRIR females.
I'm going to put quite a few in the freezer this year.... they are of no use to me. I will also be putting a LOT of F1 in the freezer... at least 40.