I'm ok with "code intelligence", or even more precisely "autocomplete based on code intelligence". All good. Just not "intellisense", please ;)

> I personally wouldn't go back from VSCode to an editor that merely provides autocompletion

Autocompletion can draw from multiple sources. By default, before LSP hooks have a chance to add themselseves to the list, I have following sources configured:

      '(ac-source-symbols
        ac-source-variables
        ac-source-functions
        ac-source-features
        ac-source-filename
        ac-source-abbrev
        ac-source-dictionary
        ac-source-words-in-same-mode-buffers
        ac-source-semantic
        ac-source-yasnippet
        ac-source-files-in-current-dir) 

Maybe that's why I don't think changing the name of the feature based on just the source it uses makes sense.