Generally speaking, I think you are correct, but if the hops are really old and have other issues, rather than simply being aroma-defective, I would be concerned. Bittering additions don't typically retain aroma through the boil that is worth mentioning, but stale, old hops may give up something in the process that is carried forward. In short, I would be cautious with any ingredient that seems past its prime or defective. But, hey, let us know how it turns out! Good luck.