So people will want to protect their data & privacy, especially companies.
People will want to have a better search experience, which means that things that are on the internet that they want to see will be there. Google is probably the most monitored for takedown requests/deindexing and they control most of the video portals and certainly the window you view the interent through so they are a target to legitimate and illegitimate takedown requests.
edit: they also have built the components and outsourced them. Hadoop/Map Reduce, most of Apache's products, elasticsearch, and another google offering tensorflow can certainly be made into a search engine. Obviously not google scale, but certainly an individual.