Indeed. For example, most desktop operating systems have a keybinding for «search for any Unicode symbol by name and input it». That would make sense to have as

Indeed. For example, most desktop operating systems have a keybinding for «search for any Unicode symbol by name and input it». That would make sense to have as a fallback button on a virtual keyboard too. The iOS emoji selector is close in UI/UX already, but the search is restricted to the emoji range of Unicode.