I have worked in La Hague. It was common knowledge that during an annual check of staff, the tests were accurate enough to identify smokers and it was always asked if the subject was a heavy drinker of San Pellegrino because this had an impact of measures. Ingested radioactive material is far more dangerous than exposition to radiations. I am mostly pro nuclear, but IMHO, the recomandation to avoid San Pellegrino for young childs should be taken seriously.
Wikipedia say young children should avoid it because of the high mineral content not because of radioactovity. - "S.Pellegrino is not suitable for infants under 12 weeks of age,[39] because their gastrointestinal tract and urinary system is immature and cannot withstand highly mineralized water." - https://en.wikipedia.org/wiki/S.Pellegrino