Is it a problem if several load bearing studs aren't plumb?

While the world won't end if it stays, the top of the stud should also be moved. It's easy to do and lazy not to. There are a few reasons:

• When locating the stud later for mounting photos or whatever a person would be led astray after finding the stud at one height and then trying to hit it at another.
• Any electrical or other hardware attached to it will also be (slightly) askew.
• Drywall hangers might be frustrated if their sheet ends on that stud or their screws don't hit in the field as expected.
• It's technically less strong at a slant, though practically speaking it's not a problem.
• It looks shoddy. No contractor I'd hire would leave it leaning simply as a matter of pride.

More concerning are the places where joists rest on unsupported plates (due to the plates being cut completely out). Studs should be added against the duct cutouts to support those areas.