Back when I started programming Android, people were telling me that Android is not eating Blackberry's lunch. Back when we were selling a certain app in my first job, the client told us they had Palm Pilots that do the same thing. Microsoft was giving us mobile devs a free Lumia to learn to program Windows OS. Game devs were saying touchscreens had inferior controls and wouldn't catch up to Symbian games.
Now none of those are part of the "both".
I would say Google is like Symbian. They defined the term. But they're making poor product decisions lately. We've seen constant complaints on them for years. They're not the iPhone, they're not innovating. Google is a 20 year old technology that everyone still uses because there's no other option.
ChatGPT is more like the iPhone. It's doing things in a strange new way that's not what we expect. It's inferior in many way. It's dumbed down for the common person.
The Android analogy is not out yet, but it's probably a smaller player similar to Midjourney who will be acquired by a much bigger player later.
I believe full text search stay there, but ChatGPT like technologies will augment it.
I think smartphone comparison is apt. Smartphones ended up disrupting whole industries like photography, mapping, entertainment and news delivery.