I have had an Axe (Ultra, II, now III Turbo) since mid 2009, so i'm fairly used to modeling.
When i go directly from my Cornford + 4x12 and over to my Axe i do notice a small difference.
In particular when i don't use fx and run a dry amp.
After some minutes i don't, but switching A/B i do, so it's not "out there" to notice this.
I have done this many times, to try to match my MK50 to the "Cornrob" model.
It's a diffrence if i stand 2-3 m further away from the cab too. Nothing to worry about, but i do notice and latency is a fact.
Using 1 amp with a 3 band eq simplifies a lot live (if you need to tweak for the room)
I like both tubes and my Axe and i use whatever makes me inspired on any given day. Right now it is a simple setup.
Cornford MK50 (dry into a 4x12) -->
Suhr RL--> Boss SDE-3000EVH -->Poly Verbs-->
Mesa 295 -->2x12 and a 4x12 for WD/WD.
Sounds huge and I can play loud at home