they are independent from Swiss International Airlines. Was the same with Swissair and Swissair Aviation School, they were not affected by bankruptecy of Swissair and merged with CrossCat a joint venture of Crossair and GeCat and were renamed to Swiss Aviation Training.
Only problem will be: Swiss International Airlines is the main Customer and when Swiss Int. Airlines will go bankrupt they will be in big trouble.
There were some efforts made in the past to aquire external customers (like Jetmagic (went bankrupt), Fairline Austria (never took off) or Eurojet Geneva (went bankrupt)...)
The times will become rough for them and in response of redimensioning Swiss Int. Airlines they had to lay off quite a few staff already and the Office in Basel is nearly being shut down..
If you are looking for pilot training go somewhere else!!
Did the training with them, was still fine, but things are getting worse as I heard..