stream: optimize webstreams `pipeTo` further #3860

Job	Run time
Build slim tarball	1m 51s
aarch64-darwin: with shared libraries	18m 43s
aarch64-linux: with shared libraries	18m 17s
x86_64-linux: with shared libraries	22m 16s
x86_64-darwin: with shared libraries	29m 22s
	1h 30m 29s

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