@J-Hilk
I use Google search a lot for docs too. But once I have a page open in the Qt docs it would be nicer to search from there, particularly if, say, I am looking at a particular Qt version in the docs so it sticks to that version where Google can vary. Anyway, especially if it gave me some kind of QCompleter type suggestions/completions, so I could see what is available and not worry about mistyping a long class name etc.
This topic refers to the "sidebar" which has been added on the left of all Qt doc web pages. I note that includes, for instance, an entry for every Qt class. That means it might be more suitable for web devs to search if they do not want to add suggestions/completions to the existing Search box which is at the top right of each page. Instead I am vaguely suggesting they might want to add a new Search box at the head of this new list/table of contents at the top left (e.g. under where you pick the Qt version dropdown), since that list already has all class names in it. If I could be given suggestions/completions against what I type there that would suffice.