"...activities will be wlaking, camping, belaying..."
In this case, since these three activities require different work outputs I would suggest a couple of different solutions.
Walking - probably the most energy intensive of the activities mentioned. Therefore, goose-down is likely to be far too warm, unless you are somewhere very high and the conditions are set to be dry and well below zero. As a possible solution, I'd suggest an 'over-layering' method - dress to be cool to start with, exercise to warm up and then add layers to conserve heat as and when you stop/slow down. For me, I use just merino base layer and Paramo windproof if it is around 10'C and then progress to adding a 100wt fleect and Parmao Alta II jacket once things have gone below zero. Obviously, anything in between depending on conditions and this decision has to be made at the start of the outing. For my over-layering I use either a PHD Kappa vest or Kappa Jacket, again depending on conditions.
Camping - I'm guessing some short bursts of activity and then mainly static? In this case, the chances of getting sweaty through overwork is small so your choice of clothing will really just depend on weather conditions. As mentioned before, I'd go for down in the conditions are set to be dry and, if there is any chance of rain, stick with synthetic. Again, my own, personal choice is my Kappa jacket (sometimes with my vest under it if it suddenly gets colder.
Belaying - again, I'm guessing long periods of being static, but this time, whatever you are wearing will have to travel up with you once you start climbing again? In this case I'm also guessing that packability and weight will become more important? So, goose-down becomes more of a favourite here? However, I still cannot suggest using down if there is a chance of rain. Yes, primaloft is heavier and cannot be squashed quite as small but, in reality, the actual differences in size and weight are not that great. I'd stick with synthetic.
The one exception that might be suitable for "camping" and "belaying" might be a down jacket with a waterproof outer (both waterproof fabric and fully taped seams etc). There are several available, but they are all expensive. However, the warmth of down and complete weatherproofing might be worth it for you?
Just my thoughts,
James