The use-case that sounds most reasonable to me is trying to do some heavy learning on a new topic, and using this tool to organize your findings. They cite some other use cases (such as buying a new car or phone, or planning a trip) but those seem best-served by other tools. I was actually researching cars to buy this weekend, and a simple spreadsheet worked very well (columns were features I wanted/needed, rows were potential candidates). There are also many trip-planning apps that I think would serve that need far better than a general-purpose app like this.
Ultimately, it looks like a lot of time was invested into this app - that said, I can't see it being terribly useful (at least to me). It's too complex to be helpful for the 90% of tasks that can completed with a piece of paper, or a notes/spreadsheet app, and it's too general to offer a better solution than niche products for the other 10%. If I had invested in this company, I'd be encouraging them to pivot into either a) a Google Keep/Pocket competitor, or b) something much more minimal that actually enhances the search engine experience (as the title implies).
P.S. You're not impressing anyone with your grid-style website. It's not a technical feat, nor does it improve the usability of the site - quite the contrary. Even if it were somehow easier/faster to use than scrolling (hint: it's not), the cost of switching to some new navigation paradigm is far more than what new users will be willing to invest for some new app. You have about 3 seconds to get my attention, don't waste it teaching me how to get around your website. Even if users are willing to put up with it out of curiosity, it'll make the pre-app experience worse, and that determines what lens they'll view the app itself through: "Cool, let's see what this does for me" vs "What other ways has this company devised to annoy me?" This may sound harsh, but I'd like to see you guys get some kind of reward for your hard work and your current website is actively preventing that from happening.