You do not need all clients to be Wi-Fi 6 to get the benefits of its faster speed, sleep mode, etc. You only need the router and your one client to support it.
That said, I am not sure the Wi-Fi battery saving will be very noticeable on a cell phone. That sleep mode is more beneficial to IoT devices that do not need constant connectivity, cell phones can power down the Wi-Fi radio when you turn off the screen even with older Wi-Fi generations. To save battery, newer cell phones have more power-efficient chipsets and can have bigger batteries with newer technologies (Li-polymer) that help longer battery life. Lower brightness settings and resolutions (HD vs QHD/UHD) can also save battery, etc.
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