Currently Firefox (117) has different search methods
Search Site (Ctrl+F)
Search ? (/)
Search Links (')
... https://support.mozilla.org/en-US/kb/search-contents-current-page-text-or-links
Suggestion: To improve usability and tool discoverability by the user, all this shortcuts should open the same interface, but only preselect the type of search (SearchType) that should be performed.
This way, the user would automatically knowing one of them, that other methods exist and by which shortcut they can be called.
Only a single interface has to be designed, allowing for example the use of Letter case selection in combination with all search types ...
The interface could look like [INPUT FIELD] [Selector:SearchType] [toggle:Letter case] [toggle:option2] ...
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