Even if it sucks, as long as their is revenue lift, you will keep it until the next solution comes along.
The search results you believed were implicitly tuned to some feedback mechanism slowly experience creep as the customer cohort changes and data distribution changes until before you knew it your management of the search solution is a ceaseless game of whack-a-mole siphoning off engineering resources at a rapidly increasing rate. It’s the same false promise of just having some engineers stand up Elastic Search.
I will say though that your 1% claim is way off in my experience (which includes 3 medium and large ecommerce companies). These companies employ armies of product managers and analytics staff that measure the shit out of everything from the color of a button to the size of font in a banner display for a discount promo code. These things aren’t usually measured because they find value, rather just to give the appearance of data driven decision making and justify job perpetuity.
You just have to pay Algolia, wire up the APIs, and then see if whatever stakeholder that was complaining about search stops complaining. If they do then it's good enough.