One thing the google search app does is if you don't use the app for a certain time (maybe like an hour?) and return to it then instead of seeing your previous search you will see the search bar.
I would like this for the kagi app too. Its annoying when I open the app later and its stuck in an image search from the last time and i have to do like 2 extra clicks (and a couple mis clicks) to do my new search. Even more annoying if people are near me and my last search was a bit embarrassing 😛
Google search app has this where you if reopen the app from the homescreen it resets the app. This makes repeat searches better. Thank you for implementing the native search app! It really did make my searching faster but it can be even better