These are the Ontario Rules and Regs - note the difference between "fire season" and "Restricted Fire Zone" (i.e. fire ban off or on)


"The Regulations deal with the use of stoves and installations during the fire season (April 1st to October 31st) and during Restricted Fire Zone periods. Use the following as your guide:"

Campfires:

You can enjoy a campfire during the fire season provided it’s built on bare rock, soil or other non-combustible material. Your campfire must be at least 1 metre away from any flammable material; at least 3 metres away from any overhanging vegetation and your campfire cannot exceed 1 metre in diameter and 1 metre in height.

Campfires are prohibited during a Restricted Fire Zone. The only exception is in an organized campground and only if the campground owner/operator decides it is safe to do so. In these situations, strict campfire rules must be adhered to. Your campground owner/operator will provide you with the rules when campfires are allowed.



Portable Gas, Propane or Naphtha Stoves:

You can use your portable gas, propane or naphtha stove anytime during the fire season, even in a Restricted Fire Zone, provided the stove is at least 1 metre from any flammable material. The stove must also be designed to use gas, propane or naphtha and you must be able to extinguish the flame by a control valve or by closing the stove.



Portable Wood Burning Stoves:

The stove must be at least 1 metre from any flammable material
The stove must be designed for cooking or providing warmth
The stove must be made entirely of non-combustible materials
The ashes and coals produced through burning must be completely extinguished and safely disposed of before the stove is moved

Charcoal Installations (BBQs, Hivachis, etc.):

You can use your portable or permanent charcoal installation during the fire season provided the installation is at least 1 metre from any flammable material and the ashes and coals produced through burning are completely extinguished and safely disposed of.

You can continue to enjoy barbecuing during a restricted fire zone provided you are in an organized campground and the owner/operator decides it is safe to do so, or you are barbecuing within 100 metres of a dwelling that you occupy (i.e. summer cottage, camp, home).



Outdoor Wood Burning Stoves and Wood Burning Furnaces


Anyone who uses an outdoor wood burning stove or wood burning furnace anytime during the fire season must ensure the following regulations are met:


The stove or furnace must be at least 5 metres from the forest and at least 2 metres from any flammable material
The area surrounding your stove or furnace at ground level must be non-combustible material extending for 2 metres in all directions
The stove or furnace must be designed for cooking or warmth; made entirely of non-combustible material; enclosed on all sides and have working spark arresting devices on all vents and chimneys


You can continue to enjoy the use of your outdoor wood burning stove or furnace during a Restricted Fire Zone provided it is within 100 metres of a dwelling that you occupy and you meet the above mentioned regulations.

SO,

The way I read it, only a gas/naptha stove or a propane/canister stove can be used when there is a fire ban.  The only exception for a wood burning stove is if it is within 100 meters of a dwelling ( I assume that does not include tent) and has spark arrestors, etc as per the above.

Note that the rule on "completely enclosed and have spark arrestors on all vents and chimneys" is in effect during fire season, as well as restricted fire zone - so it sounds like that is a requirement for anytime during the summer.  So while a campfire does not have to have a spark arrestor on vents, a stove does - at all times - may not be logical, but that's what it says.

Seems to be blank of any mention of alchohol stove, but typically, if something is not expressly allowed, then it is not allowed.  Probably ok except during a fire ban, but maybe not.