Expat instructors are not common in SIA, Singaporeans are preferred. One of the requirements was for 5 years service as a Captain with SIA. Cargo has recently appointed some expats as instructors, but "mainline" DECs would be a better option for employment.
Lay-offs occurred after the SARS epidemic caused severe problems - they weren't all expats. Just don't p*ss them off, as SIA operate a '3 strikes and you're out' programme (unofficially of course).