[iOS] Page is blank after setPage when the screen re-renders on pager events #1202

On iOS, the pager can show an empty page after setPage. The status line says the page is selected, but the pager area is empty: no text and no inputs. The page stays empty after the pager stops moving.

This surfaced while reviewing #1193 (the iOS focus fix). The repro screen in that PR triggers it. #1193 does not cause it, because the same steps show a blank page on 9.0.10 without that PR.

Repro

Use the #1154 repro screen (example/src/gh-issues/Issue1154PageChangeFocusRepro.tsx) on main, with two changes. Each change makes the event log above the pager change length when the pager changes page:

// In the "Go N" buttons, before setPage:
setEvents([]);

// On the PagerView:
onPageScrollStateChanged={(e) => {
  if (e.nativeEvent.pageScrollState === 'idle') {
    log('state idle');
  }
}}

Then:

1. Tap the input on page 0, type a few characters, and tap Go 1.
2. Tap the input on page 1, type, and tap Go 2.
3. Tap the input on page 2, type, and tap Go 1.
4. Tap the input on page 1, type, and tap Go 0.
5. Tap the input on page 0, type, and tap Go 1.
6. Tap Go 2.

Expected: page 2 shows.
Actual: the status line says Selected: 2, but the pager area is empty.

Each part is needed. Without the two changes, without typing, without focusing the inputs, or without the first step, the page shows correctly.

Recording

Versions: react-native-pager-view 9.0.10 (main at 4914ab6), iOS 26.5 simulator (iPhone 17 Pro Max), iOS only.