OK, so I wrapped up the quick analysis and the data is quite interesting. Without the Very Large Array, the Sydney Opera House is a much better choice, see below:
Sydney Opera House value in 1 year - 365 Citizen Days
Atomium is intrinsically worth 0 Citizen Days, so it needs to make those 365 Citizen Days up. So to match the 365 citizen days, a player has to have 10 Citizens assigned to the University for all 365 days of the year. If a player does that, Sydney and Atomium are basically equivalent in value. It is worth mentioning that assigning more than 10 year round to the University makes Atomium a better choice clearly.
This changes dramatically though if you pair Atomium with the Very Large Array, see below:
In one year (365 days) Very Large Array is worth 182 Citizen Days on average if a person only uses speed ups on things requiring 6 citizens. If you use your speedups on things requiring only 4 citizens it is worth 121 Citizen Days. I only use them when 6 citizens or more are involved so I will use the 182 number. So, we get the following:
Sydney + Very Large Array = 365+182 = 547 Citizen Days worth of value in 1 year
Atomium + Very Large Array = 0 + 182*2 = 364 Citizen Days in 1 year (Again Atomium intrinsically is worth 0 Citizen Days)
Doing the math, Atomium + Very Large Array now has to make up only 183 Citizen Days versus 365 (547-364). To match that, a player has to have only 5 citizens assigned to University research for 365 days to balance the wonders out.
This is a significant difference and one that most players would benefit from. I always have 5-10 citizens in the University. Prior to building the Very Large Array I was better off with Sydney. Now with this analysis I will be spending the crowns to flip the Sydney Opera House to Atomium. I lose appx 400 crowns in value (the cost to switch) and those I value at about 24 Citizen Days. Those will easily be made up when I have more than 5 people in the University over the coming months.
I hope this information helps others and if anyone has feedback on my calculations please let me know!