I'm not sure this is always the case.
I tried moving this hard drive from a Late 2010 13" Late 2010 MBA into a 2011 13" MBA and all I could ever see was the "No" sign.
Capacity: 251 GB (251,000,193,02
Model: APPLE SSD SM256C
Serial Number: S0N8NEAB127960
Native Command Queuing: Yes
Queue Depth: 32
Removable Media: No
Detachable Drive: No
BSD Name: disk0
Medium Type: Solid State
TRIM Support: Yes
Partition Map Type: GPT (GUID Partition Table)
S.M.A.R.T. status: Verified
Capacity: 209.7 MB (209,715,200 bytes)
BSD Name: disk0s1
Capacity: 209.48 GB (209,484,214,27
Available: 139.14 GB (139,138,199,55
File System: Journaled HFS+
BSD Name: disk0s2
Mount Point: /
Capacity: 650 MB (650,006,528 bytes)
BSD Name: disk0s3
Capacity: 40.52 GB (40,521,998,336 bytes)
Available: 18.29 GB (18,286,682,112 bytes)
File System: NTFS
BSD Name: disk0s4
Mount Point: /Volumes/BOOTCA
Content: Microsoft Basic Data
Ok - please scratch my doubt, listed above. With further research, the SSDs in the 2011 MBAs are the same as in the Late 2010 MBAs - the Samsung AXM09A1Q.
The resolution to my problem was identified by a poster in another forum - apparently, you must, must, must format / reinstall the OS on the new machine via the Lion Internet Recovery function (cmd+option+r at the chime). This involves creating a Lion Internet install USB recovery key before going through this process.