These are not "agents" who are perusing the package, in the sense of revenue agents as we know the term.
Maybe things have changed, but I know it USED to be that semi-trained agents did amending, and there were NOT just data entry clerks. They probably aren't fully trained agents that do auditing, but they did actually 'look' at things.
If IRS considered other information important, it would require it on a 1040-X.
I have seen the IRS mess up the "credits" on a 1040X. The 1040X just lumps all credits on one line while the actual 1040 separated them on different lines. Whether or not including the actual 1040 would have changed anything, I don't know, but the 1040 would have had the correct information.