> My understanding is the broken window theory relates to destruction and rebuilding and not opportunity cost. I don't think building a new stadium is analogous to breaking a window.

Both versions exist independently. AFAIK the one intended to illustrate the fallacy of "Anything that increases GDP must be good!" is the older, by far.

The reductio-ad-absurdum version is that the glazier putting his sons or apprentices up to going out and smashing windows must be a net benefit for society...