In this case the insulation itself will probably payback quickly. The problem is the cost of re-siding the house to get the insulation in- likely similar for CO2 impact.
Actual installation and other materials excluded (adhesives, mesh, silicone render, 450 hot beverages, getting the neighbour's car repaired after the scaffolders hit it, etc.) excluded.
I don't have a full year of data yet, but all in it's looking like CO2 emissions are going to come in at well under 40%. This is in line with the independent assessment I needed to clear a grant for some of the costs[2]. It seems to me "carbon ROI" is about 1/4 the financial ROI (est 8+ years).
Now if it was PU instead of EPS that would be a different cost (10x the CO2 of polystyrene). Sadly I also ended up with some PU (PIR) in a small area of low-pitched roof void, I don't know if there were better choices there.
There's also a hidden cost in living in a cold, damp building - now there are winter days when I don't even turn the heat on at all.
[1] https://www.greenspec.co.uk/building-design/embodied-carbon-... [2] https://www.seai.ie/publications/Your-Guide-to-Building-Ener...