The startup for Angel Glide is fairly slow compared to Sky Star.. It's primary usage is to glide over distances.
Sky Star was fast and reliable. The start up was literally instantaneous.
And DMC4 Dante had no problem covering distances due to the combination of Stinger Jump (edit: off ledges), Sky Star, and Air Hike.
But Angel Lift and Angel Dodge aren't teleports . . .
So if you're using Angel Lift to go towards an enemy, and one is about to land an attack you right before you lift off, chances are you're going to get hit. And I'm not sure but I believe this actually happened to me before. I'll need to retest it.
However, Air Trick had invunerability frames so you wouldn't get it. So it was kinda more reliable. You didn't get hit in the middle of a teleport because well . . it's a teleport.
I see what you're saying since it's basically the same concept. Moving from point A to point B. But ultimately I don't think it should be considered as a teleport.