Pawel, you sound great! I did guess correctly and I won't spoil by commenting which one is which.
I feel like a few things that I experienced when play testing the American cut can be heard to some degree in your recorded sample. The cane reed retains its tone colour at all dynamics, but I can hear a change to the sound when you play at extreme dynamics on the Legere. The other thing is that the attack is slightly less consistent on the Legere, and it sometimes seems to have a slight edge when articulating almost like the sound produced when someone articulates too hard on a reed that's too soft.
One thing I found with the Legere when I test played it was that I totally didn't agree with the strength recommendations from the manufacturer. I found that when I picked a reed for its response, the sound was nasal and plasticky, and that when I picked a reed for its sound, the strength was just too soft. I couldn't get the balance right, which is the main reason I didn't make the switch to plastic. I'm curious as to whether you experienced this too.
As a side note, I think the American cut is a fantastic reed and probably the best synthetic sax reed ever produced. It's miles ahead of any other plastic reed I've played on sax and it gives me hope for the future of synthetic reeds. It's totally unsurprising to me that people are making the switch. I use one on my alto for teaching purposes because it's just so practical!