Something's definitely up with it, and Ferne can correct me if I'm wrong, but I think Yoshida-san just wants to make the existing Leviathan a little more... Leviathan-ey.
They seem to just be two different styles of the exact same structure (liney things off the head, wingy things off the body, etc.) - and of the two, we know the latter is Leviathan and that the former has outright used Tidal Wave (and I believe was referred to as Leviathan by devs but ... as far as evidence for that, I got nothin')
It did take me a few tries to get it, but after I did it all seemed so obvious that the scenes were trying to spoon feed it to me. The big thing is that we didn't yet have the core concept of what was going on. I imagine that this problem were exacerbated by two things: (A) The Unending Journey didn't exist in those days (B) it's practically considered actio non grata to watch cutscenes in the moment. Either you're trying to speed through them to get somewhere, or you're speeding through them to not hold up your group (doubly so if the cutscene is actively running down the damn timer).
That's why I beseech SE to consider carefully the placement of quest flags so that all information can be revisited by the Unending Journey. A lot of instances are skipped in which seemingly throwaway conversation actually has very important observations from NPCs that help you constrain your theories.
The same thing happens in Limsa, except that it seems you echo-jumped Y'shtola in the middle of her echo-jumping Sthalmann and it threw you both backwards. My impression was that they could echo jump, but were shocked that you could - this shock arising because they'd already seen you.
I've got a long way to go before I start Grid's story - but FIRST IMPRESSIONS I had assumed that you were echo-jumping their arrival in Gridania just as they were coming onto the scene as well, and they just assumed you'd been there at the time. The whole forest goes into a rage after the starshower... so what arrived at the time must have been important enough for the circle to investigate.
In the Grand Company Storyline, a scene occurs in which several copies of Y'shtola surround you, implying that the Y'shtolas from different points in her life are all echo-jump converging on your position.
I'm struggling with that one myself. The Seventh Umbral Era storyline has them much more self-aware about their purpose and powers than the opening cutscenes did. But at least the Limsa storyline appears that this happened quite some time ago. For instance, in Fade to White, it's been years since they've heard anything but rumors, and then you show up where Y'shtola lost "they key," implying that years have passed since she was seen.
Seeing as Y'shtola was presumably able to send in multiple jumps of herself at once, perhaps we're echoing The Circle's first arrival, but in reality, they're currently echo jumping into our time from their position at the Final Battle. They know much more now than they did at the time we're echoing them.