One thing a competitor needs is a new and innovative technical algorithm.
Back in 1998, Google's PageRank was an innovative algorithm that calculated relevance based on counting back links instead of parsing the word counts in embedded HTML text like other search engines. This created a noticeable improvement in quality of results.
Nobody seems to have The Next Big Idea for a better search engine yet. Somebody did a Shown HN of a new search engine based on whitelisted curated domains such as reddit discussions. But there are many technical problems with that (e.g. Goodhart's Law & Hawthorne Effect creates bad feedback loop of gaming the reddit discussions which then poisons the search engine.)
Another technical idea of crowdsourced decentralized search index creates a very slow query engine which is a hard sell when web surfers are used to Google results appearing in less than 1 second.
DDG's idea of "privacy" is interesting, but being (mostly) based on Microsoft Bing's search engine doesn't actually create a quantum leap in better search results.
What's the next breakthrough idea that extracts the good signal from all the noise of a trillion web pages?