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For a point of comparison, a ChatGPT request uses 2.9 watt-hours (and rising) to a google searches 0.3 (which per your example would only be run once assuming you're checking different blogs from the same list of results.)
https://timesofindia.indiatimes.com/technology/tech-news/chatgpt-google-search-need-power-to-run-heres-how-much-water-and-electricity-are-used-to-answer-questions/articleshow/111382705.cms
generally I end up checking some results and often changing the search with new keywords but all the same I generally am doing follow up questions similarly. Im betting to any energy the ai uses to check web destinations is likely not included which would be the same as I going to a destination. maybe less if its more of a crawl or api. Any way you slice it its going to be more I think.