[Blazor] Stage management - localStorage explanation adjustment (#34220)

Author: hakenr

aspnetcore/blazor/state-management.md

@@ -96,7 +96,7 @@ For information on defining URL patterns with the [`@page`](xref:mvc/views/razor
 
 For transient data that the user is actively creating, a commonly used storage location is the browser's [`localStorage`](https://developer.mozilla.org/docs/Web/API/Window/localStorage) and [`sessionStorage`](https://developer.mozilla.org/docs/Web/API/Window/sessionStorage) collections:
 
-* `localStorage` is scoped to the browser's window. If the user reloads the page or closes and reopens the browser, the state persists. If the user opens multiple browser tabs, the state is shared across the tabs. Data persists in `localStorage` until explicitly cleared.
+* `localStorage` is scoped to the browser's instance. If the user reloads the page or closes and reopens the browser, the state persists. If the user opens multiple browser tabs, the state is shared across the tabs. Data persists in `localStorage` until explicitly cleared. The `localStorage` data for a document loaded in a "private browsing" or "incognito" session is cleared when the last "private" tab is closed.
 * `sessionStorage` is scoped to the browser tab. If the user reloads the tab, the state persists. If the user closes the tab or the browser, the state is lost. If the user opens multiple browser tabs, each tab has its own independent version of the data.
 
 Generally, `sessionStorage` is safer to use. `sessionStorage` avoids the risk that a user opens multiple tabs and encounters the following:
@@ -638,7 +638,7 @@ For information on defining URL patterns with the [`@page`](xref:mvc/views/razor
 
 For transient data that the user is actively creating, a commonly used storage location is the browser's [`localStorage`](https://developer.mozilla.org/docs/Web/API/Window/localStorage) and [`sessionStorage`](https://developer.mozilla.org/docs/Web/API/Window/sessionStorage) collections:
 
-* `localStorage` is scoped to the browser's window. If the user reloads the page or closes and reopens the browser, the state persists. If the user opens multiple browser tabs, the state is shared across the tabs. Data persists in `localStorage` until explicitly cleared.
+* `localStorage` is scoped to the browser's instance. If the user reloads the page or closes and reopens the browser, the state persists. If the user opens multiple browser tabs, the state is shared across the tabs. Data persists in `localStorage` until explicitly cleared. The `localStorage` data for a document loaded in a "private browsing" or "incognito" session is cleared when the last "private" tab is closed.
 * `sessionStorage` is scoped to the browser tab. If the user reloads the tab, the state persists. If the user closes the tab or the browser, the state is lost. If the user opens multiple browser tabs, each tab has its own independent version of the data.
 
 > [!NOTE]