Fix bug in --no-private flag #2498

Job	Run time
miri	1m 3s
build (aarch64-unknown-linux-gnu)	1m 56s
build (aarch64-unknown-linux-musl)	1m 34s
build (aarch64-apple-darwin)	1m 57s
build (aarch64-pc-windows-msvc)	2m 43s
build (x86_64-unknown-linux-gnu)	1m 22s
build (x86_64-unknown-linux-musl)	1m 25s
build (x86_64-apple-darwin)	1m 58s
build (x86_64-pc-windows-msvc)	2m 29s
build (x86_64-unknown-freebsd)	2m 15s
test (stable)	8m 12s
test (beta)	7m 21s
test (nightly)	6m 23s
test (nightly, macos-11)	17m 26s
test (nightly, windows-2019)	2m 55s
test (1.26)	12m 56s
test (1.30)	10m 57s
test (1.31)	9m 40s
test (1.36)	10m 21s
test (1.39)	12m 1s
test (1.41)	9m 41s
deny / deny	37s
msrv / msrv	3m 58s
tidy / tidy	1m 20s
	2h 12m 30s

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