My apologies but what I was wondering about was rather, even though that article tells us which players support gapless playback, it doesn't say which players support loop points.

In order to know which player to use we would need to know which players support both gapless playback and loop points. Preferably the list of such software would also state whether the player was also able to do gapless playback of loop points, since conceivably a player might be able to gapless playback when transitioning between songs but might not do it properly in the case of loop points.