It wasn't a "Crusher Chair." There were two extra seats without backs beside the seats for the First Officer and the Counselor, but I don't see any reason to think it was only for Crusher. I would think if those seats were meant for specific officers, they'd be full seats with backs and arms.
ADDITION: Just for completeness, I left this question tabbed until I could look it up in the Star Trek: The Next Generation Writer's/Directors Technical Guide. This is the guide sent to me by Lolita Fatjo, the script supervisor for ST:TNG when I was invited to pitch stories to the series. It is the manual all writers would receive to make sure they're clear about the characters and situations in the series. This would be the version used for the 5th season, but there were points in there that made me suspect it had not been revised for a few seasons.
On Page 39, under Layout of The Main Bridge Set, it states: "The COMMAND AREA of our Main Bridge is a semi-circle of control seats where the Captain and his next-in-command and advisors are located."
Just adding that for the record. So, other than for the 1st Officer, they don't specify any assignment for the seats, just that they're there for advisors. (In other words, "put any character there who needs to be there for that scene.")
Apologies for adding this so late, but I didn't have time to dig out the Writer's Guide until this evening.