Pressure-treated lumber is always damp. Soaking wet, actually. Squishy, juicy, wet. It'll leak when you cut it and squirt you in the eye when you nail it. Look into how it's created, in great pressurized vats of solution, and you'll realize that this is practically unavoidable.
That's fine. You want it that way, because if it's already dry it's likely warped. If you install it wet, and it dries slowly, out of the sun, after it's been secured in place, it won't warp as much.
It's rarely an actual problem, even when drywall is installed. As long as the moisture isn't sealed inside some cavity or whatever, it'll eventually dry out. There may be some mold in concealed places, but there's mold everywhere anyway, especially if your slab is occasionally damp.
FYI, sill seal isn't really warranted. It's mostly to seal against airflow at the outside of buildings, such as where sill plates rest on concrete foundations (hence "Comfort" in the brand name--that's not referring to the lumber's luxury). It doesn't do you much good in a basement wall. I've never used it there in dozens of new homes, nor has any inspector I've ever met called for it.
There's also no point to the doubled bottom plate. Interior basement walls are normally built with single treated bottom plates and single top plates. That's all they need.