Yes you can do that.

I've done the same SIN-BKK and BKK-HKG flight. Also done HKG-TPE and TPE-FUK on the same flight number. I've done same class and different class, award and revenue. I don't see any difference if yours is all on one ticket.

On both instances they were on separate tickets. No problem at all during check in. They will put a note in to notify the ground staff.

For example, at TPE I proceeded to get a "transit card" from the staff - as I thought I was transiting. But they saw my BP and told me that I'm not a transit passenger because my TPE-FUK was booked as a separate ticket - and didn't give me a transit card.

I'm not sure about your club sectors though. Mine were ok because they were on separate tickets. Not sure if yours would still count as two flights or just one.