Operating system: Darwin-18.7.0-x86_64-i386-64bit 64 Bits
Graphics card: Intel(R) Iris(TM) Plus Graphics 655 Intel Inc. 4.1 INTEL-12.10.12
Broken: version: 2.80 (sub 75), branch: master, commit date: 2019-07-28 07:53, hash: rB233f78c01746
Short description of error
View transform is ignored for both images and movie clips used as a background images in the viewport.
Ideally image will follow its "View as Render", and movie clip probably should just always respect view transform, similar to what's happening in the Clip Editor.
Exact steps for others to reproduce the error
Open attached file and see the difference between how texture on a cube is color managed and how is the background image is not.
Note that changes to color space might not be immediately visible in the viewport due to T66872 (which is a sepaarte root of the issue, and i'll fix that).