There is history here. Best to get acquainted with it. Didn't work the first time.
This really shouldn't change what anyone is doing, save maybe seeing a doctor a bit more often or for a bit longer off as warranted.
And always having a union rep present if called in for a chat as well as someone taking notes. No need to say much--really much of anything (unless you are positive it might help you with some personal issues)--but a strong need to document any potential goings on and exactly what happened.
As far as the self-adjudication by the company for ASR-Fs and the intimidatory potential over disciplinary action based on aircrew legitimately calling off for fatigue, it seems to me that the various regulatory agencies would be keenly interested in knowing about and monitoring this practice by an employer flying jets within their airspace--both in Hong Kong and in any jurisdiction where CX jets operate. As well as the criteria and crystal ball the company is using to tell pilots they were not really fatigued when they felt they were (when and if this occurs). As well as the same agencies being made keenly aware if coercive measures were implemented which had the effect of pilots flying unfit. IF this happens, I'm pretty sure there will be adequate documentation to launch an objective investigation with significant consequences. Whether it's planet hong kong or elsewhere.
Looks like there is significant exposure for the company on many fronts here if ANYTHING gets screwed up; kinda like the proverbial blind man navigating a minefield who is also too arrogant to ask for help. So no need to worry; carry on and keep doing what you need to do to take care of your health. THIS is the important thing. No job is worth sacrificing your health or family's health over.
And IF they're "here to help" in this regard as claimed, don't be afraid to take them up on it !
The backstop for pilots doing the right thing is bigger than it looks.