I don't know much about the Cort products, but the ESP LTD guitars like the EC-1000 aren't exactly made to have a distinct characteristic tone. The body wood and pickups tend to sound very balanced and clean and clear, as opposed to having a lot of character that you can really hear. The intention is that most of the tone will come from the amp (usually with a good amount of distortion) and the guitar will stay out of the way.
In addition to that, some amps and some software models make every guitar sound almost the same. A lot of Mesa Boogie amps, especially with the gain turned up, sound the same no matter what guitar you plug in. Some amp modeling software is like that, and even better modeling software will make all guitars sound the same if you're using a high quality model of an amp that makes all guitars sound the same.
The best way to hear a guitar's character is with a very clean sound on an amp or model that adds a little to the sound but also allows the guitar's personality to come through. A Fender Twin Reverb model or Vox AC-30 model might be good.
Also, remember that tone is only one aspect of the quality of a guitar. The intonation, comfort, and reliability are all important factors that can make a guitar expensive even if the tone is not changed at all.