I'd say dimensional, but differently dimensional than the Mc.
6L6's (to my ear) driven to this degree have a bloom which has all the harmonic range of the clean signal, but with a gurgly element that I find fascinating. This is much more evident in lower Hz ranges. The Mc drives the bloom in a more linear manner, and can represent similarly but with a different presence. I prefer the Mc when the playing gets louder. It's more deliberate or intentional. If you're lucky enough to play in big venues or outdoors and can get that JBL break...the Mc is the ticket. I saw DSO two weeks ago, and Jeff sounded awesome with the SMS/Mc2300 setup. Dude was on fire, and his rig was wonderful. But it was loud. He's got some good stuff going on there. Made me lusty for a 2300. I missed one at $1100 2 years ago.
I play the Deluxe combo fairly often. Nice at lower volumes. Creamy when driven. Completely different gizmo, those 6v6's.
All of that said...the whole animal is different coming from the Maestro. I had a buddy, who's a former touring musician, over a couple weeks back. I was showing him my rig and he tore it up for a bit. Then I brought the vibrato back on, flipped the bright switch up, and put the first gain stage tube back in. His comment was "Ahhh. That's the Twin I know." That gain through the Maestro is unlike anything I've played.
"Hi Ho...the Carrion Crow...FoldeRoldeRiddle"