Sync photo without syncing apps
iTunes will sync photos only if you turn on photo syncing in the "tab" for photos.



If iTunes is complaining about apps, it's likely that you once started to sync apps (or it got confused) - but it has nothing to do with app syncing. Sadly, if you want to use this iTunes library, you have to deal with the app issue or keep facing that alert.

Think of it this way. Your photos are in a room that happens to have some rotten food. You can either move your photos to a new room or deal with the rotten food by holding your nose or cleaning it up. One didn't cause the other, but they just ended up in the same room as you.