"A Compilation Process is "Eligible" if it is done using GCC, alone or with other GPL-compatible software, or if it is done without using any work based on GCC. For example, using non-GPL-compatible Software to optimize any GCC intermediate representations would not qualify as an Eligible Compilation Process."
Since you are free to modify GCC as you please, and have no obligation to distribute or disclose your changes, how can you ever show that anything was not done using GCC alone?
You want to use something that would otherwise be ineligible? Simply aggregate it into your private copy of "GCC" (which has always been a collection of tools).
What were they thinking? Do they not understand that the freedom to modify, aggregate, and separate are fundamental GPL freedoms?! Does the FSF not understand its own principles?