I lowered my GSA by 50mm about 25k miles ago. I didn't really have a problem with the standard height until I fitted a Corbin seat. I then found 2 up + luggage paddling a real challenge and though I never dropped it I was convinced I would. The oem shocks had done 35k miles so thought I'd change em out. When I saw the bike my first thought was Fuck, what have I done!!! However jumping on the bike with the wife to ride home I was much more comfortable with the height. The Corbin seat is wide and at 5'10 I can still only just get 1 foot flat on the floor. Revs will shorten the side stand and that is included in the cost. The centre stand just doesn't work. Yep I made up some blocks but it was a faff. Bought a paddock stand off here until a lowered second hand main stand came up on eBay which fits fine. If you keep the oem centre stand on it will ground out on corners.
You can raise the ride height by about 10 mm using high mountain on the ESA. This was plenty for the Dalton and various other semi off roady bits in Alaska and Canada. I'm used to the look now and wouldn't go back as I ride in London and the reduced height makes stop start riding easier. Because both the front and back are lowered the same amount the geometry is the same so no effect on handling. I've no regrets doing it and now have imho my perfect bike which I have no intention of getting rid of any time soon.
If you're not comfortable with the height of a standard GSA but want the extra fuel and weather protection of the GSA tank this is a good option. You also get the benefit of quality rebuildable shocks that hold a line in bumpy corners far better than stock.
The 1200 GSA is imho not a particularly good looking bike to start with so I don't see how lowering it makes it look strange. And anyway who wants a bike that looks like everyone elses