I do hear a difference and I noticed it right away. I'm willing to bet big money that the first half of the first clip is the Axe and vice versa for the second clip.
There is a certain something in the low mids of the Axe that does seem a smidge compressed or stuffy. I strongly emphasize the subtle difference. When listening to the real amp, I feel a little more pushy thump in the lows and an open quality with a touch more transient spikes if you will.
I know that FW 13 has brought us so so close, I'm much happier now and feel that I am making much better music now that I have the Axe. Before FW 13, I always seemed to notice a bit of a plasticy, thick tone, this has been resolved to a great degree with the current FW, thank you FAS for taking such pride in your work.