chore: Adjust datacontext override to use the inherited `Frame` value

src/Uno.UI.RemoteControl/HotReload/ClientHotReloadProcessor.Xaml.cs

@@ -211,7 +211,11 @@ namespace Uno.UI.RemoteControl.HotReload
 				// In the case of Page, swapping the actual page is not supported, so we
 				// need to swap the content of the page instead. This can happen if the Frame
 				// is using a native presenter which does not use the `Frame.Content` property.
-				oldPage.DataContext = null;
+
+				// Clear any local context, so that the new page can inherit the value coming
+				// from the parent Frame. It may happen if the old page set it explicitly.
+				oldPage.ClearValue(Page.DataContextProperty, DependencyPropertyValuePrecedences.Local);
+
 				oldPage.Content = newPage;
 				newPage.Frame = oldPage.Frame;
 			}