Hi.
I'm spontaneously thinking it's likely due to excessive boost pressure, which is causing the engine to go into limp mode with a reduced fuel injection amount.
Older TDIs will activate emergency mode as soon as the accelerator pedal is released.
Have the boost pressure read out during a test drive, or at least temporarily install a boost pressure sensor (LDA). The pressure should be approximately 0.9 to 1.1 bar under full load.
I'm less inclined to believe in the LMM, because you can't fix it by simply removing the gas.
