The Snapdragon 8 is hotter.
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In terms of performance, the Snapdragon 8Gen1 is Qualcomm's first chip to use Arm's latest Armv9 architecture. Specifically, the new eight-core Kryo CPU will feature a main core based on the Cortex-X2 at 3.0GHz, as well as three performance cores based on the Cortex-A710 at 2.5GHz, and four energy efficiency cores based on the Cortex-A510 design at 1.8GHz. In addition, the new chip is upgraded from the 5nm process used by the Snapdragon 888 to the 4nm process.
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Snapdragon 870 is based on TSMC 7nm process, including an A77(3.19GHz) super core, three A77(2.42GHz) large core and four A55(1.8GHz) performance core, other aspects such as Adreno650 and X555G baseband unchanged. But the WIFI chip only supports FastConnect6800.
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However, in terms of power consumption, the Snapdragon 8Gen1 heat is serious, but the Snapdragon 870 performance is very good, so at this time for some daily users, perhaps the Snapdragon 870 is more suitable for them.