I see what your saying about the analogy.
I agree, the AI is going to be on our computer and it's use is going to be ubiquitous like searches are, but like searches we use to have to go to www.google.com to search, but now we type any word in the URL address box and hit return, search function has been built into this address bar function.
I think your right, that using AI will become invisible just like searches.
We compute without thinking about computing...
We search without thinking about searching...
And we will use AI without thinking about it.