You would think after 30 years of messing about in boats I would know what basic terms mean. But it seems they mean different things to different folks.
I always assumed "wind" meant the actual wind. The true wind. The first texts I read on catamaran sailing made it quite clear that is what the author believed. Something like this:
Pinching. Probably closer to the wind than Close hauled suggests.
Close hauled. As near the wind as good VMG indicates.
Full and by. Just eased a tick. Full sails. Often better VMG in steep chop or performance multihulls, but depends on the boat.
Close reach. Between close hauled and beam reach, about 67
degrees off the true wind. On fast boats this can be a lot like
full-and-by, while slow boats have eased sheets.
Beam reach. True wind on the beam.
Broad reach. True wind about 135 degrees, apparent wind generally on the beam. Still forward of the beam on fast boats.
Deep reach. Deeper than Broad reach. Apparent wind will be on a the beam on a fast boat, perhaps 135 degrees on a cruising boat.
Run. 180 degrees, true and apparent.
I started a discussion on a forum here that resolved nothing. Plenty of references on both sides.
Wiki takes my view; not an authority, perhaps, but I'm hanging my hat there...
All I can say is that if I make a course reference it is relative to true wind. How my specific boat requires the sails be set is to me of less importance to the story than telling the reader the direction of the waves and the nature of the sailing. That is enough and it is better related by the true wind than some artifact of how fast I'm moving.