Need some more detail on this question. Do you mean search within a website, or a search engine as in Google? In either case I would say, as a single datapoint

Need some more detail on this question. Do you mean search within a website, or a search engine as in Google? In either case I would say, as a single datapoint, that search on mobile is just as important as on the desktop. In some ways more important as I am more likely to use Google Maps on my mobile device than on the desktop, and I search for both specific addresses and the name of a business.