Cin flagged two related UX issues during PR review:
1. The "Show Results / Hide Results" toggle next to the search bar served
no real purpose — there was nothing else on the Search page worth seeing
instead of results, so toggling visibility was always pointless overhead.
2. Navigating away from /search via a sidebar link dismissed the dropdown
(the click was caught by the outside-click handler). Coming back left
the input populated but the results hidden, requiring a Show Results
click or a fresh search. The cached state was intact in the controller
the whole time — just not rendered.
Both fixed by the same direction: dropdown visibility becomes a pure
function of query state, never user-toggleable. The closure now exposes
`_searchPageRestoreOnEnter` so subsequent calls to `initializeSearchModeToggle`
re-render from the controller's cached state instead of early-returning.
Removes the button HTML, click handler, `updateToggleButtonState` function,
the desktop + responsive CSS for `.enhanced-search-btn`, and the orphaned
`.btn-icon` rule. Net -94 lines.
258644fd9f