I don't see how the defence could have dismantled the statistics without discussing the construction of the case, which Judge Goss didn't permit.
We know what they were also not in possession of full data on other collapses and deaths etc, partly because of what have been listed as disclosure failings and partly because when they did construct a first report after the trial (unpublished) they relied partly on FOI requests.
So the idea that they had done the homework and found it wouldn't help doesn't seem viable.
Oldfield looks to work more in risk analysis than in medical statistics, so it's possible she advised in that area. It's also possible that she advised Myers on his defence closing speech, which picked up on the more glaring problems with the chart and with the "covert" statistics arguments in the prosecution's very broad and selective claims about patterns.
Calling a statistician as witness when things haven't been couched in statistical terms is a double edged sword, since people who aren't keen on statistics are very hard to shake out of a "but it's common sense" mindset. But that is not to say that her advice wasn't incorporate in the defence strategy and statements.