Having personally travelled HKG-TPE-HKG turn around, there is no doubt that this way of flying is possible, may be I would try TPE-NRT-TPE turn around or TPE-KIX-TPE turn around next time since no visa is needed for transit in Japan.

Anyway, I would really like to comment on the ground staff at TPE as they are really helpful, polite and friendly, especially Vicky Hsu! However, both she and I was surprised that both SIN and HKG refused to issue me my ex-TPE boarding pass... Is it always the case?