I am not sure whether 2 browsers would help.

Here's my experience: I applied for a personal and a business card the same day and did not get instantly approved for either one of them. I waited a few days and called, was told that I was approved for the business one but I would have to wait for the personal one.

The CSR said that apparently, the system flagged my applications and I had to wait 4-5 business days for the personal one and I would have to call back to check on its status as there was nothing he could do. I was eventually approved afterwards.

Hope it helps.