TwoTrees,
Yes, . . . but, electrically safer to run all five sets of speakers through the only slightly more expensive SS-6 (~$45 on Amazon), so it's overload protection circuit would protect the A-35R.
Additional benefit, this would simplify daily operation by having only one device select where the sound goes--potentially a higher GFAF. My spouse does not like having to use both the amp A/B speaker switch and the SS-4 to select zones (unavoidable in my set-up due to combining a 5.1 indoor set-up with two outside stereo zones)
Last thought; use a label maker to make small professional looking labels to put above the SS-6 speaker buttons with "kitchen", "bed room", "living room", "office", & "outside" works really well to make the SS-6 even more user friendly.