If your metaconfidence serves only to push your confidence interval further in the direction it was already at, it seems likely you’re double-counting somewhere; you’re weighing the same evidence (or lack thereof) to generate your metaconfidence as your confidence.
If your metaconfidence serves only to push your confidence interval further in the direction it was already at, it seems likely you’re double-counting somewhere; you’re weighing the same evidence (or lack thereof) to generate your metaconfidence as your confidence.