Yes, the T1 has a weakness-- it can be sharp or hot in the treble. That I believe is the Achilles Heel of an otherwise excellent headphone. But its virtues make it worth it to me: transparency, detail, soundstage, and engagement. Clarity, speed, involvement and, except for it being a little bright, beautiful balance. And sturdy and comfortable. They make good recordings sound great, but they don't play as well with mediocre/bad recordings. I hear this has been a similar complaint with the Sennheiser HD800.
Regarding amplification: I'm one of those who thinks it does not pair well with the Burson. Both are very bright-- not a good balance, IMO. I do prefer my Woo WA3 OTL tube amp with them. If you plan on keeping the headphone, definitely try a darker or warmer amp with them. You might also look at the thread about T1 damping, to calm the treble. I'd like to hear more from folks who have done that, and how it's working out for them. I might try it, but I'm concerned about potentially losing the delightful and addictive clarity and soundstage. I too own the HD650 and Denon D7000 (I love the Denon), but I find I reach for the T1 more because of what it does right.
By the way, welcome to Head-Fi! And, as they say, sorry about your wallet...