Judy, you ask a complex question so I will try to give you a simplified, though abbreviated
answer.
To start with, I think that fallen branches are perfectly fine to use for heating and to still stay carbon negative. Those branches would break down anyway just laying on the surface and would emit CO2 as well as the much more powerful methane as they decayed. The trees they grew from are hopefully still living in which the root mass is still growing and better yet, the trunk and rest of the tree is still healthy. So simply put, I think fallen wood is fine.
If the tree itself actually falls over, you may as well utilize it for something before it decays and heat is a perfectly good use.
Now about deliberately cutting down mature trees to allow younger ones to thrive brings us into more dicey territory and I am not an expert so there may be differing opinions. My personal thought is that it is OK to cut mature wood IF you are engaging in the process of either coppicing or pollarding. A coppiced tree is one that will grow up from the root mass after being cut down. As long as the tree is given good time to regrow and the root mass continues to grow, we are still in carbon negative territory.
A tree that is pollarded is grown, but has a major limb cut periodically after which it is given time to grow another limb back. The same principle applies as with a coppiced plant.
Not all trees respond well to coppicing and pollarding so I would need to know more before passing judgment on your proposed cutting system.
I am also a little fuzzy about cutting mature trees with many decades of carbon sequestered being cut down so another tree(s) can do the same over decades.
Further, 1.4 acres sounds like a fairly small amount of
land to support
sustainable wood burning for heat. It is good to know that you only have a few hundred square feet to heat, but I don’t know your climate, heating demands or tree species.
Good to know though that you are considering an RMH. If you decide to go down this path I would make certain that your house is well insulated and then install the RMH so as to capture as much heat as possible from the fire. From what I have seen, you may be able to harvest small branches and twigs to use as fuel in which case your 1.4 acres might well produce quite a lot of useable fuel if used carefully and efficiently.
So there you have one of my long winded answers. I hope this helps.
Eric