I don't know, the big negative is overated IMHO, at least compared to a good Mamiya 7 or Fuji 6x9.... I know from long and expensive experience that comparing them to handheld large-format is a wash, if not clearly in favor of the medium format for nearly all handheld work.
Roll-film cameras dominated portraiture for several generations for very good reasons, as has digital since.
What works in favor of large format is the tripod and the time factor. Knowing that you are going to spend at least a minute or twenty making a picture, then laboriously and expensively processing or editing it means that you slow down and make your fewer pictures count.
Large format is also advantageous with willing portrait subjects (i.e. not babies, cats, or fidgeteers). Because it is rare and novel, and people recognize the time and effort you're putting into making their picture, you are often rewarded with a heightened sense of connection once the big cameras come out.
In other words it is all a psychological advantage, not a technical-quality one. Making a few obscure camera movements and generally behaving like Felix Ungar is part of that "slowness" that is so different and welcome.
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