docs: Fix inaccuracies, unify wording, and expand SDK documentation #724

Job	Run time
PR title check	5s
Checks / Spell check	6s
Checks / Actions lint check	32s
Checks / Integration tests (3.14, ubuntu-latest)	2m 34s
Checks / Type check / Type check (3.14)	13s
Checks / Integration tests (3.11, ubuntu-latest)	3m 10s
Checks / Type check / Type check (3.12)	11s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 41s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 29s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	1m 7s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	1m 3s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	1m 0s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	1m 0s
Checks / Lint check / Lint check (3.13)	12s
Checks / Type check / Type check (3.11)	11s
Checks / Lint check / Lint check (3.14)	12s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 35s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 31s
Checks / E2E tests (3.11, ubuntu-latest)	5m 9s
Checks / E2E tests (3.14, ubuntu-latest)	5m 7s
Checks / Type check / Type check (3.13)	14s
Checks / Package check	45s
Checks / Lint check / Lint check (3.12)	11s
Checks / Doc check / Docs check	58s
Checks / Lint check / Lint check (3.11)	12s
	30m 28s

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