Yes, Turquoise is some funny stuff, I used to sell stones I cut and finished jewelry. Here in the four corners Turquoise is still #1, probably half the jewelry here has (what looks like) turquoise in it. Hopefully this helps someone.
About half of the stores here carry jewelry made of what locally is known as "block" or composite stone. It comes in just about any color and pattern and in rough form has seams on it from the mold. When you cut it it smells just like you are cutting plastic. I guess it could have some turquoise in it but in my mind it is fake. Sure the composite turquoise looks good but look at the "rhodonite" or "azurite/malachite" and you will see it is just plastic. The dead giveaway is the "Tortoise Shell"... come on, does it really have tortoise shell in it and come out looking like that?
The other 40% of the stones are stabilized. This is complicated to explain but either vaporized plastics, epoxy, or a number of other stabilizers are vacuumed into a stone to make it more usable. It could be cracked, chalky, or too porous among other variables. Some processes like the Zachary process saturate the rock with the fluids it was originally composed of essentially making more stone in the pores and gaps.
Dyed and stabilized is a twist on the stabilization, a dyed stone is still "real" but not really considered as valuable. I like to stay away from dyed stones as a personal preference but I'm fine with stabilized ones. This process can be compared to what they use for handle woods.
The other 10% is natural turquoise. It is expensive material and usually on the smaller side. It generally comes in little bumpy nuggets or in seams or cracks in rocks that can be slabbed. Some of it is called "saw rock" because you have lots of matrix to trim away from the turquoise. Good natural turquoise can run between $100-500 per pound on average.