IMHO there are some vastky misinformed folks on E-bay that use the term "stabilized."
Stabilization processes use different chemicals to make soft, punky wood much more solid. Those vendors using chemicals like Pentacryl are not actually stabilizing wood, but instead they are controlling the drying process of the wood. Pentacryl is, as the directions state, to be used primarily on green wood to control checking, cracking, splitting, etc. that occur when the wood drys. These cracks, etc. are a natural happening in most woods, some are much worse to crack than others ... Pentacryl does an excellent job in helping to somewhat control this destructive process.
But on the other hand so does Steven Russell's method of boiling the green wood. Go here and read his article on BOILING WOOD ...
http://www.woodturningvideosplus.com/woodturning-education-articles.html
Stabilization processes are a completely different process entirely and used on woods with 10% or less moisture content. Although the wood is protected with both processes, stabilization enhances the wood grain, allows otherwise difficult to turn wood to be worked better, protects the wood from moisture, oils, dirt, staining, etc.
I have found woods that have been treated with Pentacryl to be somewhat difficult to apply different types of finishes to. The wood takes on a completely different kind of surface characteristics that I personally do not like much at all. To me the wood seems to have the appearance of being oiled down whereas stabilized wood is totally different in looks and feel.
I wish those folks that use Pentacryl would state their wood is "protected" and quit saying it is "stabilized" as to many that know better the terms are not interchangeable. Used the wrong way they are also somewhat misleading to those that have never seen the two processes used side by side. There is a vast difference in the end results.
So, depending on what type of finish I intend on using I will just about 100% of the time use stabilization woods vs. anything soaked in Pentacryl. Both processes have their place in this world and this can only be determined by the end user - experience dictates which to use.
My $.02 worth and I don't give any change.