Dry Rot is a fungus that eats the pulp of the wood. The name dry rot is a misnomer since all wood destroying fungi requires water for germination, growth and survival. It also needs a food source (the wood itself), a temperature range between about 40 and 90 degrees and oxygen. One might say that if you cut off the moisture source, you cure the problem. But can you be sure it will come back. Once established, the dry rot fungus can survive in wood as dry as 20%. That is why wood is kiln dried to 19%. In the absence of moisture it will hibernate. There is a correlation between the amount of moisture and rate of consumption/growth.
To answer your question unless this cabin is an area that typically has less than 20% humidity than the fungus will continue to grow but at a slower rate. I didn't see your location but suspect like many home there is a lot more than 20% humidity present. This is where a moisture meter is handy. Most sill plates I see have around 50% moisture which is rot out in older homes and pressure treated wood is used as a replacement. A couple strips of tar paper would have help in this cabin. Dry rot in this location will compromise the beams and if only one is bad at the moment the rot will in time take over the others as it grows.
//Rick
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