docs(core): compile every README snippet and leave the UNGATED_DOCS ledger

packages/core/README.md

@@ -45,14 +45,20 @@ const mySchema: PageNodeSchema = {
 
 ```typescript
 import { ComponentRegistry } from '@object-ui/core'
+import type { ComponentRenderer } from '@object-ui/core'
 
-ComponentRegistry.register('button', buttonMetadata)
-const metadata = ComponentRegistry.get('button')
+// Your component, in whatever renderer shape the host framework uses.
+declare const buttonRenderer: ComponentRenderer
+
+ComponentRegistry.register('button', buttonRenderer)
+const renderer = ComponentRegistry.get('button')
 ```
 
 `ComponentRegistry` is a process-level singleton exported by `@object-ui/core`;
 `SchemaRenderer` resolves every `type` against it, so a component registered
-here is renderable from schema anywhere in the app.
+here is renderable from schema anywhere in the app. `register()`'s second
+argument is the component itself; registration metadata is its optional third
+argument, and `getMeta()` — not `get()` — reads that metadata back.
 
 ### Data Scope
 
@@ -82,6 +88,14 @@ object scope, which are injected:
 
 ```typescript
 import { createServerActionHandler } from '@object-ui/core'
+import type { ActionRunner, ServerActionFetch } from '@object-ui/core'
+
+// Injected by the host. Each stand-in is typed from the shipped surface, so
+// this example is checked against the factory's own config rather than a copy.
+declare const myAuthenticatedFetch: ServerActionFetch
+declare const currentObject: string | undefined
+declare const refetchData: () => void
+declare const runner: ActionRunner
 
 const script = createServerActionHandler({
   fetch: myAuthenticatedFetch,          // your auth wrapper (Bearer/cookies/...)
@@ -116,6 +130,7 @@ export const userListView = defineSystemView({
   columns: [{ name: 'email' }],
 })
 
+// @ts-expect-error readonly by defineSystemView — refused at compile time, not just at run time
 userListView.columns.push({ name: 'name' }) // ❌ TypeError (strict mode)
 isSystemView(userListView)                   // ✅ true
 

scripts/check-doc-snippet-types.mjs

@@ -705,16 +705,6 @@ const UNGATED_DOCS = {
     'what is left is fragment shape, and no gate reads this page\'s import names.',
   'packages/auth/README.md':
     '1 parse diagnostic(s) — blocks fenced `ts` that are bare object literals or elided bodies; 15 undefined-name diagnostic(s) — blocks continue an earlier block, or use ambient names the page never defines; plus TS2741x1 — candidate real defects, un-triaged',
-  'packages/core/README.md':
-    '5 undefined-name diagnostic(s) — blocks continue an earlier block, or use ambient names the ' +
-    'page never defines; plus TS2339x1 — TRIAGED, and NOT a defect: the remaining one is ' +
-    '`userListView.columns.push(...) // ❌ TypeError (strict mode)`, the System-View immutability ' +
-    'demonstration, so a readonly rejection there is the documentation working as written. ' +
-    'This entry read TS2339x2 until objectui#5257: the second one, on the `cloneAsOverride` draft ' +
-    'one block below, was a real signature defect — `cloneAsOverride` returned its input type, so ' +
-    'the documented override flow did not compile. It now returns `DeepMutable<T>` and that ' +
-    'diagnostic is gone. Covering this page still needs the 5 undefined-name blocks made ' +
-    'self-contained or declared, plus a way to declare a block whose rejection IS the point.',
   'packages/fields/README.md':
     '2 undefined-name diagnostic(s) — blocks continue an earlier block, or use ambient names the page never defines; 1 unresolved-module diagnostic(s)',
   'packages/plugin-ai/README.md':