Hey Austin, I saw your PM but didn't have time to reply before, so I'll just write here now.
As Xyga already stated, the W series Sony's are notorious for their inflexible input requirements in regards to the OSSC. BlockABoots on vgp forums with a very similar Sony set (42W653A)
also reported he tried with the 256 trick and it didn't work, so unfortunately I think you're pretty much out of luck.
Still, considering the large list of compatible PC modes, it is a bit baffling it wouldn't work in x3 or x4 (with the 256 vertical trick). Total lines and horizontal frequencies seem to be "close enough" for a lot of other displays.
The thing about the OSSC is that it cannot adjust the horizontal frequency as this is dependent on total lines and vertical frequency. With the line multiplication, you get a fixed number of output lines, and it will not match exactly the VESA/CEA specs. (Additionally, the V.Freq of retro consoles are slightly off spec most of the time, although I think that is actually a lesser factor for most displays.)
For example, Gamecube with GBI-LL outputs 263 lines and H.Freq of 15.73 kHz (and V. Freq 59.82Hz). So in Lx3 the output is 789 lines and 47.2 kHz. The line count for VESA 1024x768 (with reduced blanking) is 490 and H.Freq 47.3. Clearly, very close to the actual output. BUT in the case of W series Sony and a bunch of other TVs, not close enough...
Also, note how the 789 line output is way over the CEA spec for 720p (750 lines). This is probably why on some TVs, the "normal" Lx3 (using 240 active x3 = 720) does not work, while adjusting this to 256x3 = 768 can work.
For Lx4, the output is 1052 lines and 62.9 kHz. VESA 1280x1024 (reduced blanking) spec states 1054 lines and 63.1 kHz. Again, close enough for some displays, not for others.
And on your W series specs (seems identical to that other vgp poster):
austin532 wrote:
1024 x 768, 48.4 kHz/60 Hz
[...]
1280 x 1024, 64.0 kHz/60 Hz
It's quite mysterious because those H.Frequencies actually doesn't match the VESA spec, they are ~1kHz higher in both cases....