Rebuild the docs around tested examples; shrink README.v2.md to a pitch #3012

Job	Run time
checks / docs	33s
checks / pre-commit	46s
checks / readme-snippets	15s
checks / test (3.14, lowest-direct, windows-latest)	1m 32s
checks / test (3.13, lowest-direct, windows-latest)	1m 38s
checks / test (3.10, locked, ubuntu-latest)	1m 11s
checks / test (3.13, locked, ubuntu-latest)	1m 4s
checks / test (3.12, locked, windows-latest)	1m 39s
checks / test (3.11, locked, ubuntu-latest)	1m 5s
checks / test (3.11, lowest-direct, windows-latest)	1m 34s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 16s
checks / test (3.11, locked, windows-latest)	1m 31s
checks / test (3.10, lowest-direct, ubuntu-latest)	55s
checks / test (3.10, lowest-direct, windows-latest)	1m 52s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 9s
checks / test (3.10, locked, windows-latest)	1m 49s
checks / test (3.12, lowest-direct, windows-latest)	1m 32s
checks / test (3.14, locked, ubuntu-latest)	2m 10s
checks / test (3.13, locked, windows-latest)	1m 47s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 0s
checks / test (3.14, locked, windows-latest)	2m 34s
checks / test (3.12, locked, ubuntu-latest)	1m 16s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 8s
all-green	5s
	31m 21s

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