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).

EDIT: found a map & table of the bans: https://www2.gov.bc.ca/...

EDIT2: As linked below:

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.