I have cut a ton of bow wood and a good bit of stock wood, the moisture content depends on what the ambient M/C for your area is, where I live (NW Alabama) it is 12%, any wood I cut is completely dry at 12% M/C. In some areas of the country the ambient M/C might be 6%.
I have a drying box and can bring the M/C lower but it is going back to 12% once I take it out of the box unless I store the wood in a climate-controlled area like in my house. The finish on a rifle won't stop the fluctuation of the M/C in a gunstock, if we have a month or so of very dry weather, the inlets in the rifles I built won't be as tight as they were when I built the gun, the metal will be a little proud.
Wood dries on average at a rate of one inch of thickness a year, any dimensional wood like you have that has been stored and air dried for several years is good to go.
Most pin type moisture meters only measure the surface M/C, I have a pinless one that measures deeply into the wood. I have been given so much wood and told it was dry as a bone but my moisture meter told me it was green as gourd inside.
I have found if I put wood in my drying box that has a M/C of over 16% it is likely to check, even at a low temperature setting, I air dry the wood to 16% before it goes in the box. I have a dimmer switch on the lights that heat the box and can control the temperature all the way up to 140 degrees.