Saving search terms in a privacy-safe manner

hi, i was talking to a friend recently about why he liked Apple so much. He said the main reason was that everything 'just worked'. When i asked on about that, it turned out that he mainly meant that the things he searched for on his phone were also remembered for his laptop and vice versa. This seems a bit contradictory perhaps with the mission of /e/ (collecting data...), but i think it is not. This is a suggestion to consider making such an experience possible with /e/ in a privacy-safe manner, e.g. by only collecting such data locally on people's phones for those who want that. i think it should be possible for /e/ to enable users to save/collect search terms across their devices.

This would be a great feature for mainstream users of /e/. However, it will be v important that search terms are only stored locally (on the devices), are encrypted, and are never sent to an /e/ server.