Jeangrey1,
Your new pearls look lustrous and with few blemishes, and apparently a nice large size. What size are they? Yes, they likely are dyed or irradiated (safely) to achieve the color, but it is a permanent treatment done for many years to akoya pearls to achieve a gray to black color, and to freshwater pearls also as they became rounder and more available. With the introduction of bead nucleated freshwater pearls, it is more difficult for us all to identify the type of pearl. I agree with the others, your pearls probably aren't SSP.
Personally, I enjoy color treated gray and black pearls, other colors also. I was just thinking, if my name was Grey, I'd probably wear lots of grey/gray pearls!