Just to be clear:
My position on stabilizing comes from a lot of experience working with and cutting/processing a LOT of wood, both stabilized and not.
That does not mean that anyone else has to adopt my view on it. In some cases, stabilizing has some merit, and in a few cases may even be necessary.
But do not believe that stabilizing is a magic cure-all for all your natural material problems.
Any claims that stabilizing will prevent or eliminate warping, cracking, shrinking/expanding or that stabilized wood won't absorb/is impervious to oil, dye or water or that it sinks in water, etc.....are all false claims that can be easily disprove by anyone willing to simply try it.
That includes even professionally stabilized wood by the best outfits in the business. I am not necessarily saying that the top companies in the business are the ones making these claims.