The SY-200 is reasonably priced and can deliver some very good tones. Is the GM-800 that much better?
They are both fundamentally different.
The SY series is taking your straight guitar signal (or a hex-pickup signal for being able to process each string separately) and manipulates it kinda like a sophisticated FX unit would, the outcome being synth-alike sounds.
The GM-800 however requires your guitar to be equipped with a hex-pickup (their GK models) - and, most importantly, it won't work with the guitar signal but convert each string into MIDI signals, which are then used to trigger, well, MIDI sounds - just as a keyboard would.
This is resulting in very different outcomes.
With the SY series, your playing technique will be more or less represented in the sound. You can do slurs, slides, rakes, scratches, whatever you do with normal guitar setups (some of these techniques may cause some artefacts, but basically it'll all work).
A guitar signal converted to MIDI however will not be suitable for many playing techniques. MIDI only knows pitch, volume, on/off and some controller messages. So that's what your guitar signal will be transformed into (ok, bends and vibratos can be preserved - but it's getting tough there already). Any typical guitar playing stuff will get lost. Slurs, rakes, slides, pinch harmonics (ok, they may partially work...) all have no place in the conversion process as there's basically no MIDI equivalent they could be transformed into.
And to make matters worse, instead of them just being ignored (some but not all stuff can be filtered out), these typical guitar techniques often cause "glitches" along the MIDI conversion process, resulting in weird notes and what not.
Which is, to make matters yet worse again, why you usually need to adjust your playing technique quite a bit for good results.
Also, MIDI conversion needs a full string amplitude cycle for the pitch to be analyzed properly, which is why conversion of lower notes will cause a noticeable latency. Not necessarily a showstopper but still pretty noticeable.
In case you don't want to think about adjusting your playing technique, the SY series are the way to go, if you want to play typical synth/sampler sounds, the GM-800 is your best bet - but it defenitely requires a GK pickup.
Hope that might clarify some things.