man page: mention all options, or defer to --help?

Currently, the common man page for `f3write` and `f3read` only mentions the options `--start-at` and `--end-at` (and only in their long form).
The built-in `--help` mentions quite a few more options: `--start-at`, `--end-at`, `--show-progress`, `--help`, `--usage`, `--version` (and their respective short forms), plus `--max-write-rate` for `f3write`.

Would it be possible to document these (apparently newer) options in the man page?
Or, if you prefer not to maintain documentation in two places, could the man page be replaced/extended with a hint to read `f3{read,write} --help`?