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Off topic... how long do your sprint planning sessions last?
Depends on the team. My frameworks team is high-performing and mostly self-sufficient. It also helps that it is the team that sort of belongs to our architects. So, it is a lot of future tech with little to no involvement of business requirements. We usually run through a two-week sprint plan in about 45 minutes to an hour. I get us the room for an hour and a half so the team can have refuge for a bit.
My other team, works on a search engine and has many requests from our partners across the United States. We have a lot of complexity and competing priorities. Fortunately, I don't have the responsibility of managing intake for that team...but I see their planning sessions go for several hours over the course of a week. Really, I see it as a weakness from their supporting business analysts.
Ultimately, I want to remove the necessity of these meetings but that requires asking for a more technically minded analyst. I had the advantage of learning analysis from within a technology company. It shocks me how often these people with business or finance degrees are put into analysis for dev teams in non-technology industries (medicine, education, finance, etc).