[PR #9796/b947e476 backport][3.11] Avoid calling the drain helper in `WebSocketWriter` if the protocol is not paused #8010

Job	Run time
Linter	58s
Generate llhttp sources	9s
Benchmark	2m 45s
Test (3.9, ubuntu, false)	3m 30s
Test (3.9, macos, false)	3m 3s
Test (3.9, windows, false)	4m 19s
Test (3.9, Y, ubuntu, false)	3m 15s
Test (3.10, ubuntu, false)	3m 22s
Test (3.10, macos, false)	2m 42s
Test (3.10, windows, false)	4m 29s
Test (3.10, Y, ubuntu, false)	3m 18s
Test (3.11, ubuntu, false)	3m 39s
Test (3.11, macos, false)	2m 39s
Test (3.11, windows, false)	4m 54s
Test (3.11, Y, ubuntu, false)	3m 6s
Test (3.12, ubuntu, false)	3m 58s
Test (3.12, macos, false)	2m 56s
Test (3.12, windows, false)	4m 48s
Test (3.12, Y, ubuntu, false)	3m 23s
Test (3.13, ubuntu, false)	3m 52s
Test (3.13, macos, false)	3m 0s
Test (3.13, windows, false)	5m 10s
Test (3.13, Y, ubuntu, false)	3m 33s
Test (pypy-3.9, Y, ubuntu, false)	7m 14s
Test (ubuntu, 3.14, true, Y)	2m 43s
check	7s
Pre-Deploy	0s
Tarball	0s
Build wheels on ${{ matrix.os }} ${{ matrix.qemu }}	0s
Deploy	0s
	1h 26m 52s

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