Are you speaking about new generation of SSD that work like Sata-HD?
If yes, the answer to your ask is clearly Yes, out of the box!
The procerure is rightly the same as another disk.
Align to 32bits?
This urban legend came from old BIOS who don't know other than HD, floppies, cdrom and so-called Zip-Drive. For booting on this kind of bios with USB devices (removable media bigger than 1,44Mo or 2.88Mo: Zip Drive geometry permit 100Mo or 250Mo), As live USB have to be installed on a removable media a nice script was built for reproduce the crapy geometry of a Zip-Drive.
Misunderstanded, this made some confusion because first live-cd was always using this script forcing a bad geometry for the case the usb key would be used on a very old bios. ( But in fact, this is not a linux restriction: Others recent OS won't even be able to boot in such very old machines ;-)
Nothing to see with recent Linux using recents SSDs on recents BIOS.
I've personly buy a 120Go SSD to put them in an old laptop... Speed is wonderful!
Nota: As Debian try to stay essentialy usefull, minimal installation must be able on very old systems (installation on a 486DX seem alway possible, but I'm not sure... I can't do the test. but for info, my personal web server run in a VZ container powered by an old dell laptop with a PIII Copermine @500MHz).