Even though I love the JW Marriott Parq, I would choose The Douglas if given the choice (The Douglas was not open the last time I visited Vancouver). The view is not that important to me. I much prefer the one-bedroom suites at The Douglas over the Marriott Parq. I also like the dark tones of The Douglas vs. the lighter, hotel-style tones of the Parq. Finally, I use Aesop at home, and do not like the Molton Brown.
I do think that the Parq has one of the nicest Executive Lounges (good, healthy food offerings); if you are entitled to (or buy up to) Lounge access, you would still be entitled to the Parq Lounge even if you were staying at The Douglas.