I think its ridiculous to catogorize music into "technical" vs. "melodic". Dream Theater, like all other music, can be melodically beautiful while being technically complex, and also very simple tecnically but unmelodic.
Technical or melodic? That just sounds so idiotic to me. Having to think about or notice a "balance" between the two is crazy.
Dream Theater does not have two "sides" - technical and melodic, and I think its stupid to think that way and its disprespectful to any music to simplify it to such ridiculous terms.