If you look at AMD's non GAAP Q4 2022 earnings (2023 Q1 has yet to be published as of writing), which excludes factors that may impair an investor's view of a company's profitability (like large one time purchases like Xilinx), AMD reported net income of 1.113 billion:
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In addition, your 3.4 billion figure is off to put it lightly. Looking at the regular GAAP quarterly figures, AMD had a net income of $21 million for Q4 2022. That's not a loss, let alone a loss of 3.4 billion.
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Maybe AMD is doing this to increase profits or maybe not but the numbers your logic is based on are inaccurate. A majority of the reason AMD took a hit in net profit last quarter is due to it's acquisition of Xilinx, as the difference between non-GAAP and GAAP data demonstrates.
If history is any teacher, I'd say no given that Nvidia failed to pass any savings along to customers when it used Samsung. Companies will only reduce prices when they are force to and no sooner.