In the R 'boot' package, there is the option to output confidence intervals for bootstrapped estimates to be reported alongside the estimate itself, the estimated bias and the estimated standard error. CIs in the boot package are: normal, basic, percentile and bias-corrected/accelerated.
Is there any particular setting(s) where one CI type should be favoured over another? For instance, the bootstrap percentile CI is likely a very crude interval, whereas the BCa interval, while highly favoured, can produce unstable results.
My intuition is that one should report all 4 intervals, and indeed many applied statistics papers adhere to this.