Is there historical data on orphan/stale block rates during high-fee periods?

During the Ordinals fee spikes (May 2023, Dec 2023), fees occasionally exceeded the block subsidy. Carlsten et al. (2016) predict that fee-dominated mining introduces incentives to fork the chain tip (undercutting) rather than extend it, which would show up as elevated same-height competition rather than deep reorgs.

Is there any published dataset or measurement of stale block rates broken down by period, that would allow checking whether high-fee blocks correlate with increased forking? forkmonitor.info seems to have historical data but I'm not sure how far back it goes or whether anyone has analyzed it against fee data.

There is the stale-block dataset website which shows a stale rate per 1000 blocks over time. You can derive your own metrics from the data in the repository https://github.com/bitcoin-data/stale-blocks.