is Slow hand mean to be Clapton's sound ?
Yes, pretty much.
A slightly simplified take it is this:
Apache = classic SC sound, great for rock and clean, just pure classic
Irish Tour = more power, more mids, more dirt and a good portion of magic rock dust. Loves dirt, still does wondeful clean. Still classic SC at the base
Slow Hand = even more power, even more mids, fatter. More roar in there, but also more capable of a lovely fat singing SC tone with tone turned down (read: woman tone). Still classic SC at the base