In order for your calculation to be accurate, you also need to know how many turns after Broadway do you expect to win the game.
I'd assume about 100 turns. Possibly more in the absolute worst case scenario, significantly less in a best case scenario (though in that scenario no one's culture is high enough for this entire debate to matter).
At the time of building Broadway and theming it, your tpt at the point is usually negligible if you're in a usual deity game. (more than 500 turns to win over culture leader).
So? Even if we ignored Hotels/Airports/NVC/Internet entirely, you're looking at 900+ Tourism/Culture over 100 turns (ignoring the doubled theming bonus). And if we figure you'll have all of those for, say, 30+ turns (possibly 50+ turns if we exclude Airports) that's 9 * 50 + 62.5 * 20 + 68 * 30 = 3740 Tourism. Note that isn't counting the benefit from Hotels from to NVC/Internet or from Hotels/NVC prior to Internet either. Even without the Aesthetics policy getting a 50%ish modifier shouldn't be hard so that's really 5610 Tourism. It'll also boost each late game Musician tour by 680 so 5 of those is another 3400 Tourism for 9010 total...and this is being pessimistic about several things, including the Tourism modifier. So you'd need to generate 901 Tourism *without* Broadway for skipping Broadway to be better...and even assuming only 4 (with Broadway) late game tours means you need 833 Tourism without Broadway.
Now that's clearly possible to do in a good game (note that I haven't factored in World Religion here either which obviously bumps up the value of both strategies so I think it'd probably stay roughly equal, except with higher raw values for both)...but if you're in a position of pumping out 1000+ Tourism without Broadway you're almost certainly going to easily win no matter whether you built Broadway or not. Also, I apologize in advance for any math errors I may have made, not fully awake yet.
Generating 2 extra GM (3 with the free one from Broadway since it also increases counter) is huge since it raises the counter by 300 gpp. You're likely only to get one instead of two after your tourism maxed out.
Except you can time it so that you give birth to the 400 gpp Musician right after you top off Tourism and then you "only" need 500 gpp for the second...when you're presumably getting 9 base with at least 25% Aes/25% tenet/25% NE and hopefully at least one of Arts Funding, Pisa, and Garden. So 18+ points per turn is extremely likely translating into 27ish turns for the "second" Musician.
The other argument against Broadway is that you usually want Eiffel Tower in modern era to counter ideology pressure, and that you also have to build Statue of Liberty. If you also build Broadway, it has a certain opportunity cost to it since you can lose it to AI and prioritizing it delays other buildings. Very often my cities will still be pumping museums/archaeologists in the modern era and unlikely I'll build these in non capital anyway.
If you're Oxfording into Radio you have a decent chunk of time between Radio and Replaceable Parts for SoL, can also save/produce an Engineer for one of those 3 Wonders to help. Not certain when you're planning on getting Archaeology (right after Radio, perhaps? Or after Plastics?) so hard to say on that...but your non-capital cities can be making the Archaeologists. And on a OOC the Archaeologists matter a lot less since you have far less potential slots to fill and only one city for potential Landmarks.
The number in his calculation double counted and incorrectly increased the theming bonus by NVC/airport/hotels so it was incorrect.
Whoops.
I rarely go for the unit exp buildings (barracks etc). This might be a wrong go but i find them extremely useless. I tend to attack alot of barbarians through my plays so my units are already on a good level and building those wont change much for me. Especialy when you start popping up leveled units
They are generally useless in non-Domination games, yes.
