I never said they were not.
EADS is also a supplier on the 787 too.
The major subassemblies do come from EADS/Airbus plants. Various other components arrive from other suppliers (like landing gear doors, cargo doors etc), but nowhere near the same magnitude as how the 787 is built.
There's a huge world of difference.
Example: 787 - wings by MHI, centre section by Alenia, rear fuselage from Vought etc.
On current Airbus jets, those similar parts are built by Airbus not outside vendors.