With your attic contained you can begin drying the mold.
Fungus on roof rafters.
The roof deck appears to be 1 x 6 boards maybe pine.
Rotted wood rafters in a roof are a serious issue.
Fungal spores hyphae and conidiophores the spore producing structures of mold.
Check for areas of dark discoloration staining of wood e g.
Testing attic mold in most cases testing for attic mold is unnecessary.
Frankly nobody who actually knows much about mycology and mold would from looking at the white growth on a surface by naked eye assert that it is a species of aspergillus.
Excessive ceiling insulation pushed down into the roof edges can also cause condensation and mold growth because it frequently blocks off the eaves or soffit ventilation.
Below are a few ways to check for possible roof leaks.
Damage to rafter tails and to fascia and barge rafters.
It is not necessary to remove all stains from wood.
How to remove mold from wood framing plywood sheathing tongue and groove subfloor or roof decking the object in cleaning mold from a wood surface is to remove all fungal material from the surface of the wood.
Seal any openings like vents and windows using plastic sheeting.
Roof leaks will often lead to a small localized area of attic mold near where the leak is occurring.
Even if conditions are conducive to mold growth elevated moisture plywood made from a fungal resistant wood will resist mold growth for quite a while.
That could indeed be and looks like a white fungus or mold growth on roof sheathing.
Therefore we already know something about your third remediator and his or her claim.
The name dry rot is a complete misnomer as all rot requires elevated quantities of moisture.
I am wondering what would be the best replacement material.
Wood rotting from the inside out compromises the structural integrity of the rafter.
Commonly what you can see of the rotted wood is only part of the problem it is what you cannot see under the surface of the wood that can be the main issue.
I am planning on doing the repairs myself.
They require much higher levels of available water to grow.
Rafters sheathing joists attic side of fascia boards etc.
Re roofing with lining lining papers sarking roofing felt can cause severe mold growth and rot due to reduced ventilation.
Generally water leaks and poor ventilation leading to condensation are the main roof defects which give rise to a variety of fungi moulds and insect attacks.
Rot dry rot wet rot white rot brown rot is caused by wood decay fungi.
Working with active mold will only spread the fungus but you can.
In short no.
A termite inspection revealed extensive drywood termite damage and fungus damage to roof sheathing at the eaves.