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The histogram for *both* is an approximation since it displaying a histogram for the jpeg from the internal JPEG engine. I can easily believe that the LiveView histogram is a histogram of the live view display which is a speed-optimised jpeg/video display, *not* the fully-processed JPEG.
2/07/2023: New product announcements!EOS R8 EOS R50RF-S55-210mm F5-7.1 IS STMRF24-50mm F4.5-6.3 IS STMRF15-30mm F4.5-6.3 IS STM