docs: Fix inaccuracies, unify wording, and expand SDK documentation #680

Job	Run time
Checks / E2E tests (3.14, ubuntu-latest)	5m 11s
Checks / Integration tests (3.14, ubuntu-latest)	2m 29s
Checks / Integration tests (3.11, ubuntu-latest)	2m 24s
Checks / Package check	22s
Checks / Type check / Type check (3.14)	15s
Checks / Actions lint check	33s
Checks / E2E tests (3.11, ubuntu-latest)	4m 52s
Checks / Doc check / Docs check	1m 0s
Checks / Type check / Type check (3.11)	17s
Checks / Lint check / Lint check (3.11)	11s
Checks / Spell check	9s
Checks / Type check / Type check (3.12)	16s
Checks / Type check / Type check (3.13)	12s
PR title check	4s
Checks / Lint check / Lint check (3.12)	15s
Checks / Lint check / Lint check (3.13)	11s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	1m 1s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	1m 4s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 32s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 35s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	1m 6s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 39s
Checks / Lint check / Lint check (3.14)	17s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 32s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	1m 4s
	29m 31s

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