How useful are farm upgrades?

Do farm upgrades speed up farmers? Would 20x horse collar and wheelbarrow be OP? Let's check it out!

0:00 Farm techs vs other common eco techs
0:56 Do farms upgrades speed up farmers?
3:43 What about wood savings?
6:03 Other factors to consider

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Game: Age of Empires 2 Definitive Edition, with Forgotten Empires, African Kingdoms, Rise the Rajas, and Last Khans expansions