I found Reaper's take system bizarre at first, but I've grown to love it. It's way easier for me than comping from multiple tracks. The thing that makes it look odd is actually what makes it so useful. You see takes broken up into tiny snippets seemly at random. But the genius is that no part of any take overlaps any part of another take. That makes a huge difference when comping. Putting together the best bits of different takes is just like pushing buttons. You click all the parts you want, and they come together seamlessly. When you're sure you've got what you're looking, select the whole track and hit glue. That deletes all the unused parts and leaves you with a single, continuous clip.
I was doing this tonight for backing vocals on a song I'll be posting at the Clinic, probably tomorrow. The workflow goes like this: I go section by section, setting up the track to loop. Then I just hit record and let it loop repeatedly while I keep singing takes, one right after the next without a pause: Usually three high harmony takes, three low, and three singing around the third of the chord. Then I move on to the next section. I'm done before my voice even gets tired.
Then I'll go through and slice the clip into pieces between the phrases. Then I'll copy the whole thing to five or six new tracks. Then by comping the appropriate parts as explained above, I've got five or six harmony tracks. A couple of hours from start to finish. Harmony used to be a major pain in the ass for me, but it's almost become the easiest part of the recording process.
Doing all that from multiple tracks would be more more of a chore.