I apologize : I think I was a bit optimistic : this is the point where I am :
Create your search (you can use a Profile, whih customizes the results display columns).
Then, select all, create a smart group, and save it.
Look at the URL : it is in the form of :
yoursite.com/civicrm/contact/search/advanced?force=1&reset=1&ssID=12&context=advanced&qfKey= ....
Depending upon your permissions (I did not check that), you can use either of :
- yoursite.com/civicrm/contact/search/advanced?force=1&reset=1&ssID=12
or
- yoursite.com/civicrm/group/search?force=1&context=smog&gid=32
(where gid is your smart group id) but, actually, they give the same result (while I thought that ssid would save the display profile).
I will come back here if I (or anybody else) find(s) a solution (because I am interested in).