Callenging a pin with a pawn

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robj37

In the diagram above, I've featured a game that follows the bookline opening for Queen's Gambit Declined. When White plays Bg5, pinning Black's knight to his Queen, I have seen in articles a response of Nd7, however, as I have often wondered in games of different variations, why not respond with a pawn to challenge the bishop? As I see it, the move does little to damage pawn structure; if white allows black to take, thus doubling black's pawns on the g-file, white has opened the h-file for black's rook; if white plays bxnf6, he simply loses his dark-squared bishop, giving black an advantage with the dark squares.
What exactly is the downside to h6?

Scarblac

White is threatening to win a pawn with 5.Bxf6 Qxf6 6.cxd5 exd5 7.Nxd5. 4...h6? only encourages him.

rainxdancer

But if black takes with the g-pawn, wouldn't that still be protecting the d pawn with the queen?

robj37

That's what my point is.

H6, 5. bxf6, gxf6.

RampantCod

If bxnf6, black is faced with a game where castling queen side is the only option. The semi open G file will give black some chances, but white has the choice of opening the C file or limiting black's defensive options further with c5.