I agree that low viscosity is good where the cracks are narrow and it is important to stop the piece from splitting. It is still a pain using something runny when they are lots round the diameter of a piece - each needs to be filled and left to set before the item can be turned and the next one tackled, leading to a lot of waste. Also, if you are filling a curved surface, the caulk has to be built up to the level of the highest bit of the curve.
I am not particularly worried about the strength aspect - it is more the aesthetics. This is an irritating cherry root ball I am working on:
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The grain is all over the place (and full of stones it has grown round so perhaps the most tedious / least fun thing I have ever turned) and I am not planning on making the walls very thin, so I don't worry about the cracks spreading. The wood is also soft in places, so I couldn't use a thin black epoxy first as it would mean too much staining (would need sealing with clear). Something that could be spread on and worked into the cracks as a paste would nicely highlight them.