Wanted native (British) speakers to answer if Example 3 is at all possible:
Your house wants cleaning: it is in need of cleaning, is in want of cleaning, is lacking in cleaning. (Transitive "concealed" Passive Voice, no problem here).
Your friend wants relationships: he is in need of...in want of...lacking in relationships. (No one should have a problem with it).
Your friend wants going to parties: he is in want of going to parties. (Intransitive, zero Passive meaning). Note, I am not trying to say: he wants to go...rather, he lacks something (expressed by a gerund). He wants attending parties, there's a lack of his attending parties.
Though it may sound book-ish, and probably uncommon in everyday speech, but is it still possible as a way of expression? Why/Why not? Many thanks for contributing.