Thanks to everybody for your intersting replies.
@Ivan I here subtle differencies, maybe more in the articulation than timbre. The Algola has a punchier response.
But, as someone wrote me on youtube, I'll do a blindfold test next time.
I think than everyone, including me of course, has a lot of psycological aspects involved while listening, so a blindfold test could be revealing.
@thomsax as I also pointed in the video the more you go to the "extreme ranges", very low and very high (and altissimo too, as you wrote), the more you can feel the difference, not only in sound, but also in response.
@mizmar very interesting point. A particular mouthpiece can give to us a particular feeling that can influence our phrasing too. So, maybe mouthpieces can be not only a "sound generator"...
I had a teacher back in the days that used to say that you can play whatever instrument if you have your neck and mouthpiece.