Indeed - and this is the nub of the problem here. Balding is in fact only able, both logically and ethically, to state that the data he was given show Sollecito's DNA profile. That's all.
When he starts trying to place his findings into a real-world situation, where he draws (incorrect) inferences regarding the actual evidence against Sollecito, he's acting from a position of ignorance and incomplete information.
To go back to my little example for a moment, it would be as if the statistician tasked with analysing the filtered numbers I'd given him were to say something like "The machine outputs the number 7 more than any other number". In fact, all the statistician could say was that from the data (s)he was given, the number 7 occurred more than any other number. And (s)he would have actually have been factually incorrect to say that the machine outputs the number 7 the most, since the unfiltered data show that 4 is the most common output number. And what would be worse would be if that statistician didn't even know that the numbers had gone through my subjective filtering exercise before (s)he was given them to work with.
Balding's comment on environmental contamination is, as you point out, worse still. It's stunningly ignorant and, as you say, entirely outside his field of competence and his remit. From an academic, this is an extremely worrying situation.