Well, he’s wrong. But there is a link, but a rare one.
http://pedsinreview.aappublications.org/cgi/content/extract/19/6/214
"Phenylketonuria
Giosi Di Meglio, MD
Department of Pediatrics University of Rochester Rochester, NY
Phenylketonuria (PKU) is an autosomal recessive metabolic disorder occurring in 1 in 10,000 to 20,000 births. The absence of phenylalanine hydroxylase results in the accumulation of phenylalanine, its precursors, and its metabolites while at the same time causing tyrosine, the next step in the enzymatic pathway, to become an essential amino acid. The metabolic defect leads to reduced synthesis of a variety of neurotransmitters, serotonin being the most severely affected. Melanin synthesis also is inhibited, so that infants who have PKU are characteristically (though not always) fair-haired, fair-skinned, and blue-eyed.
Early in life, these infants may be asymptomatic or may present with severe vomiting, irritability, eczema, or a musty or mousy odor of the urine. When untreated, the disorder results in profound mental retardation, with intelligence quotient (IQ) scores below 30. Neurologic impairment ranges from neurologically intact (one third of cases) to some hypertonicity (one third) to spastic cerebral palsy (one third). Seizures occur in 25% of patients, usually those who are most profoundly retarded.
A low-phenylalanine diet can modify the natural history of the disease. Early, strict restriction of phenylalanine intake can result in normal . . "
I researched this for you, and it seems that unless you have this VERY rare disorder, you’re safe- as far as Nutrasweet and CB goes that is. Let me say this- on Google Scholar, that was about the only link. (some links from WHO suggesting Aspartame to prevent dental caries, etc, but nothing linking the Nutrisweet and Cerebral Palsy)
To present the opposite side, I give this link. I think these dudes not only wear tinfoil hats, but tinfoil underwear, so get out a whole fucking box of rock salt before you go there.
http://www.rxfreekids.org/cond_cerebralpalsy.asp