There is one more search widget that isn’t mentioned on this page: the one used on Wikidata. While it may not be useful as a base for the one widget to rule them all, I think it’s worth mentioning as it has a UX effect by being different from all these four: it shows descriptions, but doesn’t show images, and it also tries to be similar to searchSuggest in its layout (colors, spacing etc.), which is the only one that doesn’t show anything but the title…
Topic on User talk:JDrewniak (WMF)/notes/Search widgets at Wikimedia
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