I'm not saying that a shorter algorithm is always better than a longer one, but to an extent it is.
I know you're not saying this; at no point have I disagreed with you on that, but you claimed that your Y perm is 13 moves. This is true if we measure it in HTM, but really you should be measuring the move length with a better metric system such as QTM or ETM. It's 17 moves in QTM which is the same length as the standard Y perm.
Take for example these E perms:
1)F2 U R2 U' L2 D B2 R2 D' L2 U F2 U' F2
2)R U' R' D R U R' D' R U R' D R U' R' D'
The first one is 14 moves in HTM and the second one is 16 moves in HTM. But why is the second one so much better than the first one (in most people's experiences)?
Well one of the reasons is because we need to cover more "distance" with the first one. The first one is 22 moves in QTM! But the second one is still 16 moves in QTM. Can't you see that this is why I think algorithms shouldn't be measured in HTM for speed. With enough practice, you can easily execute the second algorithm under 1 second. Many people can do this. However the first one is basically impossible to execute under a second. It is
longer. I reckon even 2 seconds might be difficult. Prove me wrong if you want...
I'd like to see you do a 20 move algorithm consisting of only quarter turns quicker than I can do a 10 move algorithm consisting of quarter turns, half turns, and slices.
What would be the point of this? One algorithm is 20 moves in QTM, and you haven't told me how long the other algorithm is? You want to compare an algorithm which is 20 moves long against another algorithm with an unknown move length? Also I'm not trying to sound like an elitist but I'm more experienced than you, I probably turn faster than you. Even if I can beat you with your algorithm, so what? What does that tell us? I turn faster? So what?
Anyway, please stop measuring your algorithms for speed in HTM and use something better such as QTM or ETM.