Most of the guys who wrote those books complained a great deal about how they were translated to English. There is a difference, even to Seunig, between 'forward' and 'impulsion' (he would have used the word 'Schwung' for impulsion).
A great many books don't concern themselves with the complete definition, and there's a different understanding of the term for lower level vs higher level.
I have no concern if anyone agrees or not. That's not a problem for me. Doesn't worry me at all - the fact remains, judges are, and have been for a long time, instructed to not use the word 'impulsion' in connection with the walk.
It's something to look into and think about, some will be interested in doing so, some will not.
Can the walk have impulsion? Only if 'impulsion' means only 'a desire and eagerness to go forward'.
It means, or at least used to mean, before it was generalized, a lot more than that.