There is no single answer. It depends on the design of the stove, and the operator.
The initial burn should always be hot, to heat the stove and get the wood up to a temperature where moisture is driven off and clean, complete combustion can occur.
Once that point is reached, the stove is usually damped down to prevent overheating and keep the combustion gases in the stove longer. This allows the transfer of more heat from the stove into the room.
A high end stove will actually recycle part of the flue gas into the firebox and mix it with heated secondary combustion air, resulting in an extremely clean burn even at "half throttle."
Once it is down to a bed of coals, essentially
carbon, the volatiles/creosote that would cause deposits in the chimney system have been burned away. The stove can be damped down a bit more to hold in this last heat, but not too far since carbon needs a fair amount of oxygen to burn.
That has been my
experience. And BTW, once you have operated a high end, carefully engineered
wood stove, everything else is a glorified campfire. Amazing machines!