A few pointers to where your listening should be focussed, that have already been mentioned;
it retains clarity, chunk, a little bit of sag and the raw kerrang with very high gain. The type of gain that would send most Marshalls into a fuzzy, gurgly mess.
Focus on the low-end openness/note separation in combination with dry, yet thick saturation. This is what sets Larry's apart.
One difference is, I'm listening on studio quality cans; Beyer DT990 Pro.
I have a few amps that can do various levels of the sum that makes this sound, but not the whole sum.
EVH 5150III 50W (with tube swaps ). Thick saturation, remains reasonably tight, but low-end can become ever so mushy and it has this plasticy/nasal quality in the mids. It can definitely sound more congested, less open.
Engl Savage 60: Dryer than the Larry clip, similar in the Marshall-vein, but lacks the juicyness that's typical of Mesa Mark qualities.
Easily as tight, if not tighter than the Larry, but at the cost of less openness in the low-end. Engl's Savage saturation is a bit different.
I've posted a clip a while ago, where I attempted to get as close as possible with my Savage 60 boosted (modded DOD 250 with LEDs for clipping).
Mesa Mark IV/V:25: Does the chunky, liquidy thing well in combination with being quite tight, but it lacks the raw Marshally-qualities of the Larry.
Basically, if that tone is not for you, you wouldn't care...
But...if that tone *is* for you, the final piece of the puzzle may leave you re-assessing your finances.