You really shouldn't need to use a board product for this unless there os a problem behind that you don't want to fix.
It is not easy to diagnose the problem remotely but two things I would want to eliminate form enquiries as a starting point.
1. Is the undercoat plaster also cracked and what pattern is the cracking? If it is and if the cracking is a straight line or zig zag. If so then suspect that the masonry behind the plaster is cracked and able to move with changes in temperature. If it is the real answer is either to cut out the cracked bricks and replace (ideally) or maybe to cut lines across the crack and insert stainless steel reinforcement fabric bonded into the masonry to pin the two sides together. If there is structural cracking behind even a board product is likely to show cracking on at least one edge.
If you use a flexible mesh lathing and lime based mortar there might be sufficient flexibilty to accommodate the background movement.
2. If the cracking does not go through the plaster undercoat and maybe if it is cracking with a crazed pattern it would suggest an inherent problem with the finishing coat plaster which has failed to fully bond to the undercoat (can be a number of reasons for this and the inclusion of scrim could well be part of it as it can reduce the actual thickness of the finish plaster and also cause excessively fast drying. Once the plaster is dis-bonded, the minor expansion and contraction with heat will cause it to reveal in the warmer parts first. The test for this disbonding is to tap the surface with a hard item like a coin edge (a bit like John Cleese did in Fawlty Towers!)
It should be borne in mind that woodburners operate very differently from open fires in that the flue temperature is very much hotter when the burner is running hard. this is because you have much less air mixed in to dilute and cool the flue gases. It is not uncommon for the first 1.5metres of flue to reach red heat if the fire is really roared up! This concentrated heat could be reaching the chimney breast if the flue liner is not properly centred within the flue and this can occur where the flue goes round the chimney throat above the old fireplace (the flue would have been designed to restrict and change angle at that point to help induce 'venturi' type draw in the open fire. That change in direction of the flue can cause the flue liner to go from one side of the flue to the other as it needs an 'easy' bend and cannot exactly follow angular changes in the masonry flue.
You don't say the age of the building and its history, but buildings in which sulphur rich coal (or oil) have been burned and where there has also been dampness at some time (often where the chimney flue crosses sideways within a wall as rainwater dropping down the chimney lands there), can cause sulphur attack of the masonry mortar which becomes soft and swells when damp. The crystals which form and cause this will change size when they dry out and so movement occurs when the chimney is brought into use (becoming warm and dry) and again as it cools down and becomes damper in summer months. This effect does not usually manifest at low levels in buildings except in very old buildings – usually associated also with brown staining coming through the masonry.
The fact that your plasterer chose to incorporate scrim makes me think he knew there was some sort of problem with the background masonry and did his best to overcome the problem with a cheap solution (rathe than suck his teeth and say 'you will need to get a bricklayer in before I can replaster that chimney'
So, I recommend a bit of detective work to see just what is going on under the plaster!