It will be First, Club World and the WT+ in order of getting off which essentially is front to back. I've never seen any preference for tight connections. Sometimes at the connections line they are calling out flights for people to jump the queue but this is normally for long haul in my experience.
If you land on time you will be fine, short of a big cock up at the connections area. I would imagine the lines will be longer off BA294 than later in the morning after 296.
Just be quick on your feet so you don't lose silly time where you could easily get ahead. After all of that you will probably have time to spare but I always prefer that option.