Yes, It will work if you buy the bottom metal assembly to fit the bdl stock. I would not consider it a bdl simply because adl has a matte finish and bdl is blued.
I cracked the ADL stock, and I was wondering if the BDL would function. I am not worried about blued vs. matte. It is actually blued, in fact. Thanks all for the input.
I did this swap about 20 years ago. I remember having to do some minor grinding on the shell boxas it was a little too tall. Other than that it was easy.