Earlier quoted context omitted.
So your solution is to technically waste electricity to replace captcha? It's for sure an interesting concept, the first point and low-end devices requiring 20+ seconds to pass are not a very good points to sell your service.
You're right that there is an electricity cost to solving this type of captcha - the same as there is an electricity cost to loading 2MB of JS+images and clicking the pictures with the fire hydrants (and the infrastructure behind that). It's hard to estimate how they compare (and what value you assign to the human labor performed and privacy loss). 20 seconds would be a fairly high difficulty. It's up to the site own…
It’s also nonsense to compare the computational cost of N seconds of sustained, maxed out useless computation to the milliseconds of compute time needed to decode an image, or the minimal power usage of waiting on network data.