well, I've re-read the link and it is deceiving......
https://www.healthcare.gov/income-and-household-information/income/
that means the foreign income is to be added to the AGI from the tax return. it doesn't mean it is excluded from the total. So the two links you referenced are consistent.
The bullet below states to add any "excluded foreign income" not "exclude foreign include".
Your MAGI is the total of the following for each member of your household who’s required to file a tax return:
