Me, too! I figure Erskine would've had a keen idea whether the serum would affect future progeny or not; if not, there'd be good reason to prevent Steve from breeding and passing on his 'inferior' unhealthy genes. Offering him the serum on the condition that Steve also agrees to be sterilised would make lots of sense. (Because it you fix all his defects, ladies are going to be inclined to make babies with him! Can't let natural selection be screwed over that way!)

Or, if it's a consequence of the serum rather than deliberately engineered, I love the layers and layers that adds to the story, because it's the Super Soldier Serum; what does that say about the concept of "soldier", in the Watsonian and in the Doylist perspective?

I love the idea of "what if the subject had children before being enhanced", but am not so much a fan of the idea that a blood transfusion can pass on the serum! If that were the case, surely there would be a lot more supersoldiers running around, given how much blood they appear to have drawn from Steve in Agent Carter. Not to mention - how often does Steve get captured? And Hydra had Bucky for decades, and yet never drew blood from him? You could argue that maaaaybe the SSR was too squeamish to draw transfusion-quantity samples from Steve, but Hydra wouldn't have had any such qualms, especially not when they could draw it over a period of time that wouldn't endanger the subject. It just doesn't hold up for me. :P