Continuing with the theme of playability at all levels 1-20. Taking a look at number of spell slots available to cast when the PrC gets truly interesting at around 10th-11th level, for sorcerer comparison sake this is done at 11th for 5th level spells. (barring early entry)
Assuming Wiz5/WarWeaver5/X1 or Sorc6/WarWeaver5
Let's assume 3 encounters/day and filling up the Quiescent Tapestry Weaving of 4 spells before each encounter.
That's 12 spells a day just on buffs.
If you have a number of melee in the party, and truly want to maximize effectiveness from the start, I would assume a standard rotation of
Immediate Action: Nerveskitter (Tapestry!)
Move Action: Release Quiescent Tapestry
Standard Action: Haste (why waste a tapestry slot when it's already multi-target)
Which brings us up to 5 spells cast right away every encounter, for 15 spells a day just on buffs.
Now lets assume some various all-day buffs, maybe not the best choices, or some legal until SpellGuard, but a reasonable assumption:
Rope Trick, Greater Mage Armor, Overland Flight, Heart of Air, Heart of Earth, Heart of Fire, Heart of Water, Contingent Energy Resistance
For a grand total of 23.
Assuming a conservative primary casting score of 20 (16 base, +2 enhancement bonus, +2 level up)
Generalist
LvL #Base #Mod #Total
1st 4 2 6
2nd 4 1 5
3rd 3 1 4
4th 3 1 4
5th 2 1 4
The generalist will easily spend all of its spell slots in a day just merely from all-day buffs and Quiescent Tapestry. This is no good, even a hyper-intelligent elven generalist would be sweating. But the issue does become alleviated at higher levels.
Focused Specialist
LvL #Base #Mod #Spec #Total
1st 3 2 3 8
2nd 3 1 3 7
3rd 2 1 3 6
4th 2 1 3 6
5th 1 1 3 5
A Focused Specialist would do well to specialize in the school of spells primarily cast for Quiescent Tapestry, but if he chooses 1 spell of each level, he could reasonably specialize in another school to perform other casting duties, but would be relying almost entirely on that specialist school for those duties (Conj, Arcane Disciple, etc in the above). This also becomes much less of an issue at higher levels. This is an interesting planning dilemma.
Transmutation seems like a good choice at first, but given the schools spell list at higher levels it seems unnecessary, unless building towards Gishdom instead of something like Recaster.
Of course, high levels and Arcane Manipulation fix any of the prepared spell arrangement issues.
Sorcerer
LvL #Base #Mod #Total
1st 6 2 8
2nd 6 1 7
3rd 6 1 7
4th 5 1 6
5th 3 1 4
If the sorcerer also chooses to cast 1 spell of each level for Quiescent Tapestry, it leaves some variability in the spells known to perform other duties. However, it has roughly the same number of spells as a F.Specialist, however, can't really afford to spend its spells known on day-long buffs. There might be a few interesting tricks to do here, such as Tapestry Wings of Cover, but otherwise seemingly inferior.
The next thing to look at would be what spells to choose to Quiescent Tapestry Weave before and after SpellGuard.