In Phrasal verbs^x, Regards^x, Nouns^x

All prepositional verbs take prepositional objects. True. But what do we do with ambi-structural "looked after"? They looked (DO) What evidence is there that speakers don't parse "look after" as a unit and "the sheep" as its direct object? It seems all too neat 'n tidy to lump verbs of...

"the outlook for" is a noun parallel for the phrasal verb "to look out for". "for tomorrow" is "with regard to tomorrow", "concerning tomorrow", "as applies to tomorrow".