I just applied for both the Southwest and the Sapphire Preferred using the 2 Browser Trick. I got pending decisions on both. So I called their lending department (reconsideration), and the representative just asked why I am seeking a large credit line from Chase since I have had a number of recent card applications (BA-March, CO-June-now canceled, Old UA-June-Now canceled). I just said I was looking for a card for my business, etc.. Put me on hold for a little, came back and asked what Credit line I wanted on each card, put me on hold again, and approved both. =)