You're right, Angelox. That was the way it was early on, but sometime (around Luclin, I believe), there was a patch that made it so pets would not poof if you went invis. It was around the same time they changed the way NPCs viewed pets; indifferent unless they took an action, so a lost pet trying to find its master wouldn't bring a train. 
		
	
		
		
		
		
		
		
		
		
		
	
		
		
	
	
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