All the post-mortems I do are as an IC; I (occasionally) lead my own one-on-ones either with other ICs as a fellow IC and/or manager; I've seen "continuous X" practices pushed by both ICs and managers (ICs vastly moreso, actually); and management does not qualify you (and IC does not disqualify you) from being able to teach people how to treat fellow humans like fellow humans.

In short, I completely disagree both by opinion and experience that any of those topics have "not being an IC" as a reasonable requirement.