Hi,
Thank you very much for the details!
I have tried on the suggested device, but it seems to be all right on my end, please see this test: https://www.youtube.com/shorts/vpW16Xoy59A
Just to be sure I have tested on 2 different IOS devices, but on both cases the search opens immediately.
Please check if you are using any 3rd party extensions or anything that could interrupt the input. Pleaase make sure to clear the device cache too.
If your phone runs IOS 26, it reportedly has some animation related issues on some models which apple is going to fix in the next update, so that could also be in relation if it happens on your device.