This subject of whether or not a beginner should get a cheap guitar or not is a topic debated upon from God knows when.
TGMs, Timbres and SXs are seen as "sub-standards". But in reality, price tag and country of production/assembly and especially brand means nothing. A good guitar is a good guitar, irregardless. If the reviews seem to say they are good, and you have no problems whatsoever with your Timbre, then there is really nothing to fault Timbre for. Your acquisition for a Schecter would mostly be due to desire to have one. Post that on a Schecter Appreciation thread, and you'll find many people trying to urge you to get it as well, lol.
Try posting the same question as a general thread. You might get a different response altogether.
Honestly, I would urge you to access your immediate needs and budget first. Desire should come secondary, considering that you're relying on your parents for it. Timbre generally produce good guitars. They're not better than Schecter, but neither are they worse.
As mentioned, really depends on what you are looking for. If what you need is not available on your Timbre, but available on the Schecter, then get the Schecter.