For the search bar we can likely use the header to show the currently selected one-off name. For the urlbar, if a search result is selected it has a "- Search with <Engine>" prefix, that changes when selecting different one-offs. So the problem seems to only affect url results, and I'm not sure that's a critical problem because it's less likely to search for urls. If we'd fix the search bar, this bug would probably be less critical. Thoughts?
Bug 1594062 Comment 2 Edit History
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For the search bar we can likely use the header to show the currently selected one-off name. For the urlbar, if a search result is selected it has a "- Search with <Engine>" suffix, that changes when selecting different one-offs. So the problem seems to only affect url results, and I'm not sure that's a critical problem because it's less likely to search for urls. If we'd fix the search bar, this bug would probably be less critical. Thoughts?