I'm play-testing Weaver right now, don't have any experience with this e-spec yet, so may be mistaken. But Weave Self doesn't strike me like something worth wasting elite skill slot on it. Tbh, I would even think twice before dedicating a regular utility skill for something like this. One thing worth noting here is that I only evaluate it from a point of view of a PvE player, I'm sure in PvP it may have its uses indeed.
The whole set of boosts it gives you make me think a person who designed it was overly-concerned about not making Weaver even a bit more useful with this:
It brings little in terms of offensive capabilities. It gives you speed boost, but for Weaver being mostly sword-wielding profession it doesn't bring much as you need to be very close to your enemy to deliver your dps (and you provide zero benefits to your group except of your dps, so its your primary focus) you can't use this speed to, say, kite more effectively, so its usefulness is questionable. It gives you extra condi damage, but current meta for Ele is all about direct damage and full berserk equipment anyway, it doesn't honor condi damage that much in the first place, so it's not very useful either. Well, there is also the finishing skill which allows you to mass-float people, but that's hardly that useful in PvE to justify it as an elite skill, though I see potential for PvP battles in it
It gives you a little bit more in terms of sustain, through toughness and healing power boosts, but then again, in a group (raids, fractals) it means little as you'll have a dedicated healer and a bunch of much more useful boons (aegies, barriers, protection, regen etc) usually anyway, and in solo play current trend, again, is "do as much dps as possible to kill everything before they will burn through your hp", so it sounds more logical to set FGS as an elite skill instead.
So, overall, it seems like a very lackluster set of boosts applied for a relatively brief period of time (you either need to quickly push it to Perfect Weave state to be done with it, or do only 3 steps out of 4, and wait till the last seconds before transition it to Perfect Weave, to benefit from the boosts for a bit longer - at the cost of having more complex rotations during that period, as you need to avoid specific element all the time), and with 90 seconds of wait till the next opportunity to use it. Doesn't really look like something I should choose over FGS.
What am I missing here?