It sounds like you want the Kobo Libra 2. It's on the smaller side (7"), it has page turn buttons, it supports French, it's not an Amazon device, and Kobo has the best Calibre integration of the various e-reader manufacturers. It's also reasonably snappy and has a dual front light. The battery will give you maybe 40 hours of reading per charge, which is far above your 4 hour battery life target. You could get the Clara 2E if you want a smaller (6") and lighter device, but you lose out on the page turn buttons.
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