Oh - two things I forgot.....
Our house in Denver had those same 'bath tub' faucets for the water supply in the laundry room, and it was built in 1977. I think that's a Denver code if not just a regional builder's tradition of sorts.
Our house had extreme water PSI - nearly at the max (80-some PSI at one time), to the point that if I turned the faucet on even half-way in the powder room, the shallow cultured marble vanity sink would cause ALL the water to fly out of sink and all over me and the walls. So, we were told to use the faucets in the laundry room to turn the water off to the washer after each day's use to prevent the rubber hoses (this was before braided hoses I believe) from burting. I think that's why the valves were made so easily accessible.
About the full-width door on WP dryers - I don't believe they were a WP feature yet in 1964, though I could easily stand corrected. I know they were available on the 1962 Kenmore 800 dryer and the 63 Lady K, but beyond that, I don't recall seeing one on a Whirlpool until later in the 1960s models.
Gordon