No they wouldn't get that hood every time... about something like 1 in 100 maybe
Sometime fertile sometimes not.
Golden/Amherst have been crossed for well over 100 years
Best to keep that in house do not sell (alive) as pure Anything
IT's 100% a hen Goldherst (hybrid) they look like that sometimes. male is for sure a Goldherst
the 5 X 7 pen is way to small for them 10 x 20 and you will be fine