Are Shakespeare’s men and women complex ‘types’ rather than three-dimensional characters?

Both in Measure for Measure and his Sonnets, Shakespeare’s characters are initially categorised and sorted into various types; the ‘Duke’, ‘Nun’, ‘Friar’, ‘youth’ ‘dark lady’ and so forth, but the texts do not secure them as so. It seems somewhat straightforward to distinguish these types, yet it is with some scrutiny of Shakespeare’s texts that we can determine that these typecasts are in fact more often than not, mere exteriors or facades of what are in fact morally complex and indeed three-dimensional characters.