It took some digging, but the ban is on Category 1 Campfires, which I'm assuming means all the other categories are verboten as well:
A campfire is defined as:
Any fire no larger than 0.5 metres high by 0.5 metres wide (a fire larger than this is considered a Category 2 fire).
Used by any person for recreational purposes or by a First Nation for a ceremonial purpose.
The categories don't seem to care about the fuel you're using or whether it's in a pit or not; so, essentially all burning is banned for now (if I understand correctly, the announcement isn't on a BC site yet from what I can find).
The use of outdoor stoves is not prohibited. As per the Wildfire Regulation, an outdoor stove is a CSA-rated or ULC-rated device used outdoors for cooking, heat or ambiance that burns charcoal briquettes, liquid fuel or gaseous fuel, and has a flame height that is less than 15 centimetres tall.
Propane firepits are very rarely classed as a campfire as they don't really have any ignition risk. Here in SK they are exempt from all fire bans, most of us have one in our yard for when it gets dry in the summer.