refactor(2meet-data-optimizer-hivepress-addon): stop registering Hot zone fields

- ADR-003 step 4 (AddOn side): core, requests, bookings, memberships and
  marketplace adapters no longer register zone=hot fields or contribute
  hot_* FSM modules; their keys live in TMDO_HivePress_Entity_Groups.
  Cold/warm registrations are unchanged.
- Hot-table doctor probes go with them (trait defaults apply). The
  hot-clause query rewrite and cron optimizer are now inert and are left
  for the ADR step-5 removal together with core's hot path.
- New NoHotZoneRegistrationTest pins the invariant across all 13 adapters;
  per-adapter hot assertions removed.
- Verify: HP unit 142 / integration 49 green, phpcs clean (WordPress)
- PR: PR-037

tests/unit/CoreAdapterTest.php

@@ -46,29 +46,10 @@ class HivePressCoreAdapterTest extends TestCase {
 		$this->assertSame( '1.7.0', $this->adapter->minimum_addon_version() );
 	}
 
-	public function test_migrations_returns_listing_and_vendor_modules(): void {
-		$mods = $this->adapter->migrations();
-		$this->assertContains( 'hot_hp_listing', $mods );
-		$this->assertContains( 'hot_hp_vendor', $mods );
-	}
-
 	public function test_on_register_fields_populates_schema_registry(): void {
 		$registry = WPDO_Schema_Registry::instance();
 		$this->adapter->on_register_fields( $registry );
 
-		// Listing hot fields.
-		$drafted = $registry->get_field( 'hp_listing', 'hp_drafted' );
-		$this->assertIsArray( $drafted );
-		$this->assertSame( 'hot', $drafted['zone'] );
-		$this->assertTrue( (bool) $drafted['indexed'] );
-
-		$expired = $registry->get_field( 'hp_listing', 'hp_expired_time' );
-		$this->assertSame( 'hot', $expired['zone'] );
-		$this->assertStringContainsString( 'bigint', $expired['data_type'] );
-
-		$featured_time = $registry->get_field( 'hp_listing', 'hp_featured_time' );
-		$this->assertSame( 'hot', $featured_time['zone'] );
-
 		// Vendor cold blob.
 		$vendor_image = $registry->get_field( 'hp_vendor', 'hp_image' );
 		$this->assertIsArray( $vendor_image );
@@ -87,16 +68,6 @@ class HivePressCoreAdapterTest extends TestCase {
 		}
 	}
 
-	public function test_doctor_check_reports_table_status(): void {
-		$result = $this->adapter->doctor_check();
-		$this->assertIsArray( $result );
-		$this->assertArrayHasKey( 'ok', $result );
-		$this->assertArrayHasKey( 'message', $result );
-		$this->assertArrayHasKey( 'details', $result );
-		// The stub $wpdb returns null for SHOW TABLES, so tables appear missing → ok=false.
-		$this->assertFalse( $result['ok'] );
-	}
-
 	public function test_optimize_query_extracts_hot_clauses(): void {
 		$registry = WPDO_Schema_Registry::instance();
 		$this->adapter->on_register_fields( $registry );