diff --git a/internal/oauth/authorize.go b/internal/oauth/authorize.go
index b780dbe..2f06948 100644
--- a/internal/oauth/authorize.go
+++ b/internal/oauth/authorize.go
@@ -303,6 +303,11 @@ func (s *Server) serveRequest(w http.ResponseWriter, r *http.Request) {
 // about 39 bits, and finding one shows only an offer the owner must still
 // approve.
 func (s *Server) serveRequestByCode(w http.ResponseWriter, r *http.Request) {
+	// The box's page fetches it from the owner's browser, on whatever
+	// address the box has at home. Every answer is readable there: a
+	// browser hides a refusal it may not read, and a wrong code would look
+	// the same as no network. A refusal says nothing a code does not.
+	w.Header().Set("Access-Control-Allow-Origin", "*")
 	if s.limited(&s.lookupLimit, s.lookupByIP, r) {
 		w.Header().Set("Retry-After", "1")
 		http.Error(w, "too many lookups", http.StatusTooManyRequests)
@@ -318,9 +323,6 @@ func (s *Server) serveRequestByCode(w http.ResponseWriter, r *http.Request) {
 		http.NotFound(w, r)
 		return
 	}
-	// The box's page fetches it from the owner's browser, on whatever
-	// address the box has at home.
-	w.Header().Set("Access-Control-Allow-Origin", "*")
 	writeJSON(w, http.StatusOK, s.view(c), false)
 }
 
diff --git a/internal/oauth/oauth_test.go b/internal/oauth/oauth_test.go
index fb14ce5..afabddb 100644
--- a/internal/oauth/oauth_test.go
+++ b/internal/oauth/oauth_test.go
@@ -896,11 +896,19 @@ func TestTheBoxPageFindsARequestByItsCode(t *testing.T) {
 	if resp.StatusCode != http.StatusNotFound {
 		t.Fatalf("an unknown code: %d", resp.StatusCode)
 	}
+	// The box's page reads a refusal too, so it can tell a wrong code from
+	// no network.
+	if got := resp.Header.Get("Access-Control-Allow-Origin"); got != "*" {
+		t.Fatalf("an unknown code's answer is not readable from the box's page: %q", got)
+	}
 	// Lookups are rate limited for everyone together.
 	limited := false
 	for range 60 {
 		resp, _ := http.Get(g.srv.URL + "/oauth/requests?code=ZZZZZZ")
 		if resp.StatusCode == http.StatusTooManyRequests {
+			if resp.Header.Get("Access-Control-Allow-Origin") != "*" {
+				t.Fatal("a limited lookup's answer is not readable from the box's page")
+			}
 			limited = true
 			break
 		}
@@ -920,7 +928,9 @@ func TestTheConsentPage(t *testing.T) {
 	body, _ := io.ReadAll(resp.Body)
 	page := string(body)
 	for _, want := range []string{"Let Claude into your home?", "From example.com. FTW Cloud does not know this client", "127.0.0.1:8123",
-		"a program on this computer", "<svg", AppLink, scopeWords[ScopeDispatchHold], "Control lasts minutes"} {
+		"a program on this computer", "<svg", AppLink, scopeWords[ScopeDispatchHold], "Control lasts minutes",
+		// An owner with no app approves and removes on the box's own page.
+		"open Settings, then Access, and type", "in the FTW app or on your box"} {
 		if !strings.Contains(page, want) {
 			t.Fatalf("the page lacks %q", want)
 		}
diff --git a/internal/oauth/page.go b/internal/oauth/page.go
index 53145bc..b4ff6a6 100644
--- a/internal/oauth/page.go
+++ b/internal/oauth/page.go
@@ -125,14 +125,14 @@ var consentTmpl = template.Must(template.New("consent").Parse(`<!doctype html>
 <p>After you approve, this window goes back to <strong>{{.RedirectHost}}</strong>.{{if .Local}} <span class="warn">That is a program on this computer. Approve only if you started it.</span>{{end}}</p>
 <h2>It asks to</h2>
 <ul>{{range .Scopes}}<li>{{.}}</li>{{end}}</ul>
-<p class="muted">{{if .Control}}Control lasts minutes at a time, within limits your box sets. {{end}}It can change nothing lasting by itself. You can remove it at any time in the FTW app.</p>
+<p class="muted">{{if .Control}}Control lasts minutes at a time, within limits your box sets. {{end}}It can change nothing lasting by itself. You can remove it at any time, in the FTW app or on your box's own page.</p>
 </div>
 <div class="approve">
 <div class="qr">{{.QR}}</div>
 <div>
 <p>Approve in the FTW app: scan the code with your phone, or</p>
 <p><a class="button" href="{{.Link}}">Open the FTW app</a></p>
-<p class="muted">Or, on your box's own page, open Access and type</p>
+<p class="muted">No app? On your box's own page, open Settings, then Access, and type</p>
 <p class="code">{{.Code}}</p>
 </div>
 </div>