Yeah, a lhasa apso is nothing like a terrier.
Terriers are first and foremost hunters, and skyes are no different, though they are a little less manic than, say, a jack. They like to dig, and to run, and hunt.
It's hard on them to be moved around from home to home. Terriers are very loyal, a little reticent around strangers, and take a long time to get over the trauma of changing owners. I've had my PR ***** for 5 years now, almost 6....she was 2 when I got her..and it took her 2-3 years to fully settle in with us, and learn to completely trust us.
They're good tempered, but can be feisty, aggressive towards other dogs and animals, and snappish. Not great around little kids, unless they've been raised around them.
They're complicated, elegant minded dogs.