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Differences in metrics around T and away from T can perhaps be better explained by selection bias. If a block is selected away from T, it is likely because the block was an outlier with more MEV. (Note that number of blocks selected in these zones is less, which is easy to forget in average and median plots.) This reflects in the last plot of value v/s time. In the last plot's discussion,

"The average bid values peak significantly at specific time intervals, particularly around T-2 to T-2.1 seconds and T+1.9 to T+2. These peaks indicate that Titan places higher-value bids to secure critical blocks at these intervals."

I think selection bias explains the peaks (away from T) better than the builder bidding higher out of desperation to get a block included.

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