I noticed these too at TPE before. I do wonder if baggage handlers can cope with "priority", "evergreen club" and "elite" when they deal with so many airlines.
For a long time, golds got "priority", but this changed to "evergreen club" a few years back. I've found club priority a bit patchy - as if not all handlers recognise it.
They used to have "first priority" - not seen it for a while. I suppose that disappeared with Super First.
I'm curious to know the effect of the "elite" tag too. When as gold I fly Elite, at TPE I get the club tag so it looks as if "club" outranks "elite". At LHR they tag golds "priority".