Yes, sex-linking is a first generation trait.
No, sex-links do not tend to be long lived.
You're assuming traditional hybrid vigour, which is caused by two factors:
1) a lack of recessive disorders.
Humans have two copies of (almost) every gene, one inherited from each parent. Usually, a defective gene is masked by the non-defective one inherited from the other parent. But if both parents have the same defective gene, you're going to inherit two defective ones--and that won't go well for you. Outcrossing to a different population saves the offspring from this because it's highly unlikely that both populations contain the same defective gene.
2) Overdominance
What if one of the genes doesn't have a match from the other parent? In that case, it sometimes overexpresses itself because it isn't compensating for the other gene. (this happens most often in plants, which are a lot more complex, genetically, than we are.)
But what if the parent breeds were specifically bred for overdominance of one trait?
As an example, CornishX (Cornish-white Rock hybrids) are hybrids. But the parent breeds weren't bred to be great examples of either breed (Cornish or White Plymouth Rock) Instead, they were bred to augment each others' characteristics for the best meat bird. That optimal meat bird, even under the best of care, rarely makes it to a year of age, simply because it gains muscle too fast.
By one definition of the term, it has very good hybrid vigour--it's very muscular, it's fast-maturing, and it's thrifty (absorbs nutrition well) But that vigour comes with its downsides--such as growing so quickly that it's not able to move.
ISAs are, in my experience, similar to CornishX. We had a five-some that we purchased as pullets and they laid very large, very pretty eggs. When we butchered the year after, we decided to keep three of them--the ones that were laying best, and the really pretty one with the slightly golden tint to her feathers. Two died within six months from peritonitis, and the gold girl got a throat infection and died the next winter. We never had that problem with Leghorns, Australorps, Barred Rocks, Production Reds, or any other of the several chicken breeds we've owned.
The parent breeds were bred so that the offspring lay eggs continuously, no matter what it costs their bodies. Hybrid vigour assumes that the offspring expresses the better of the two genes inherited from the parents. But hatcheries breed the parent breeds so that the inherited genes only allow for one outcome--laying continuously.
Very Long Post. Sorry.