No pulse I suppose is park and ride. I like doing that with the objective of getting from one high edge to another high edge as quickly as possible. Especially fun when riding with snowboarders who are doing much the same. They seem to like it. I’ve not encountered skiers that like doing it. It’s a blast in anything but trees. Blast in bumps too if they aren’t too big or hard to overcome my core strength.
The pulse thing in the fall line, that’s this idealized turn I learned from PSIA. I do it when I clinic, or in exams, because I think I’m supposed to. The gradual tipping to max edge at fall line, then gradual untipping to transition. I have to be painfully patient and it’s work because I have to think about it.
Otherwise, the pulse is dictated by where I want to go, in what terrain. By terrain, I also mean where the fall line is relative to where I want to go. Much more pragmatic; keeping track of where the pulse is is a waste of thought.
A pulse is gotten by releasing the turn
Strange, you have described the way I like to ski, but I would not describe it as a pulse. What I like to do when given the complete freedom to turn how I like without terrain or other constraints is to obtain the minimum turn radius and maximum turn force possible for my given speed at an apex that I put (place in time and space) when my skis are in the fall line, but I build to that maximum smoothly not jerkily; it's not park and ride, it's increasing then decreasing, then repeat.
A pulse to me would be to gradually increase at a rate that would not achieve the maximum possible at the apex, then when close to the apex increase very suddenly and decrease extremely rapidly.
In a turn that is not purely carved, I see the pulse turn as a variation on the short radius non-carved turn, typically seen with the pulse slightly below the the point when skis are pointing straight down the fall line. Variation on a variation: have the skis lock in at the moment of pulse impact. However, I cannot really say much more, I'm proud of myself when I practice my short radius turn, as I must do to improve my bump skiing. I pat myself on the back when I do that, because most of the time I'm having fun playing at making high-g carved turns and not practicing my short radius turn, let alone playing with locating the pulses in it.