docs: improve no async client components page #35970

Job	Run time
Determine changes	8s
validate-docs-links	13s
build-native / build	26s
build-next / build	31s
test unit	0s
test cargo benches	0s
test cargo unit	0s
ast-grep lint	16s
Run devlow benchmarks	0s
rust check	0s
rustdoc check	0s
test next-swc wasi	0s
test next-swc wasm	0s
test turbopack dev	0s
test turbopack development integration	0s
test turbopack production	0s
test turbopack production integration	0s
Test new tests for flakes (dev)	0s
Test new tests for flakes (prod)	0s
test dev	0s
test firefox and safari	0s
test ppr integration	0s
test ppr dev	0s
test integration	0s
test prod	0s
test ppr prod	0s
lint / build	3m 16s
types and precompiled / build	54s
Test new tests when deployed	0s
report test results to datadog	0s
thank you, next	1s
	5m 45s

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