Did you even look at the link?
http://www.delta.com/traveling_check...my_comfort.jsp
There are two different rows.
Discounts - Delta customers
Discounts - other airlines
As a Delta Platinum I would look at the row that is labelled "Delta Customers"
For each column:
International(Long-haul)
Transcontinental
Domestic
KLM Royal Dutch Airlines
It states:
FREE for Diamond/ Platinum Medallion, and Y, B & M fares
Your quote is from the "Discounts - other airline" column.
What is interesting about that column is that it clearly states for the Delta International - Longhaul:
FREE for Flying Blue Platinum
And for KLM Royal Dutch Airlines:
FREE for Flying Blue Platinum
50% OFF for Flying Blue Gold and SkyTeam Elite Plus
The chart makes it clear... Delta EC is FREE for FB plats and that KLM EC is Free for Delta diamonds and plats
Honestly I don't understand how reading a chart is so difficult?!
Someone who is a Diamond or Plat medallion is a DELTA CUSTOMER and has to look at the row labeled "Discounts - Delta customers"