It shows skill and control over the blade. It adds variety. And in the days before it was a recognized feature to earn higher levels in the new judging system, it was unusual and therefore creative and "cool."
How do you like the forward inside edge on the upright position at the end of the flying combo spin at 3:05 in this program?....
Thanks for the video links. That was so much fun. As for the Kristi

Olympic SP, I have two comments: (a) Kristi sure had skinny legs back then

, and (b) why would anyone ever want to skate to anything else than the Blue Danube?
Cool to hear Brian Boitano commentating on the Michael Weiss program.
Now, about the change of edge in the spins, I guess I have to disqualify myself from further comment about this. I couldn't tell which edge the skaters were on or whether they changed edge or not. I don't think I can see the difference between spinning on an inside, outside, backward or forward edge. For sure I can't when watching the whole program in real time.
I think this is what Ms. Daniker Rusch is referring to, when she disputes that the current judging system is more transparent to the audience than the judging of figures was. About figures, people complained that the average television (or live) viewer has no way of telling what was a good figure or a bad, all they knew is that at the end the judges gave out a score, somebody won, somebody lost.
It is the same with features like changes of edges in spins. The typical viewer can't see anything that gives one skater a level 3 and another a level 4 -- it is just a magic number that appears on the screen after the performance that bears no relation to anything the audience saw on the ice.
This is not necessarily a criticism of the IJS, just an observation that maybe we were too hasty in throwing out figures just because the audience could not relate to the judging.