I would very much be bothered if he came up with the intro riff.
And in general yeah, I'm not a fan of the keyboards being played backstage at shows. Or of keyboard parts of songs, where they are as central as they are in Streets, not being given writing credits.
It feels like a bit of a conceit.
Well... Eno came up with the opening organ part, which is a fairly important and iconic part of the song, both on record and in a live setting.
No writing credit.
U2 have always relied heavily on producers, and it's been a point of criticism about the band forever. It's basically renowned U2 hater Henry Rollins' entire reasoning for disliking them.
Eno's contract was written so that he got a percentage of the royalties rather than the normal flat rate specifically to avoid giving him writing credits.
That Haim got a writing credit and Tedder or whoever else from One Republic didn't is probably contractual; as in Tedder is getting a percentage much like Eno used to, whereas Haim isn't a producer so they obviously needed to give credit.
I think someone should have noticed that there was a video including the riff online in a one republic recording session and just given a writing credit to avoid any controversy. I'm guessing the 2nd member of One Republic being listed as an additional guitar was a compromise.
I'm a little surprised at the reaction by many around these parts to find out that producers are heavily involved in crafting these songs. I didn't know that wasn't a known thing.
In this particular case, yea it bothers me a little that the two most obvious guitar riffs on the album were written by someone else, and kinda adds to the criticism that Edge has lost his way and/or ran out of ideas.
But the general idea that producers are heavily involved in shaping the final product beyond what a normal producer would do, including writing some parts? That's not new, and has been going on since at least Unforgettable Fire.