Re criticising etc projecting, I suspect there is something rather different going on and that there is a shortened macrophenomenon as the Complement, e.g.They criticised (the fact) that she had come.The short form is not in my own idiolect so I can't make a strong judgment on this, but it seems to parallel the projecting/reacting distinction in :I said (*the fact) that she had come - projecting.
I regretted (the fact) that she had come - macrophenomenon as Complement.My guess then is that some speakers (of EFL, if you like) can omit "the fact" for both mental and verbal reactions, unlike my idiolect, which only allows this for mental reactions, rather than that these varieties can project after targeting verbal processes.
A fact is a metaphenomenon, not a macrophenomenon; a macrophenomenon is an act.
Facts are 'pre-projected'; that is, they are not related by projection to a verbal or mental clause in the clause complex in which they figure.
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