I'm more of a classic metal guy. (I'm almost 47).
I went to see Iron Maiden in '92 and DT opened. Within 30 seconds, I was so blown away.
But my favorite bands at the time, and still are, were Maiden, UFO, and Alice Cooper. And all things Dio of course.
But when I was a kid, I truly loved Hemispheres/Permanant Waves era Rush. Had they continued that arc, they would've been my favorite band. But of course, I became disillusioned with them in the 80's.
But I had always said that when I discovered DT, I thought that this was the kind of music Rush should be playing. It was a natural extension.
So with DT, you had the power of Maiden, the vocals ability of Helloween, and the chops of Rush.
But when describing them to people now, I basically just refer to them as the heavy metal version of Yes.