A new G.I. barrel should have a TE of "0" when installed. You will see some brand new, just installed, barrels with a TE of "1" due to timing issues when they were installed. Nothing wrong with that. A new barrel shouldn't be above "1," or maybe "2" (at the absolute high end). Generally, the lower the better, with anything under "5" being preferable. The highest on any of my rifles is "3."
Btw, a rifle with a good TE can still be a poor shooter if the muzzle wear is excessive. A rifle with a very good muzzle will sometimes shoot well even with a high TE. Low on both is the way to bet, though.