The Short Version
The claim overstates the evidence. A ~30–31% increased risk has been found specifically for sugar-sweetened beverage consumption, but the most comprehensive meta-analyses of overall sugar intake report a smaller association of roughly 21%. One prospective-cohort meta-analysis of total sugar found no statistically significant link at all. Presenting "30%" as the general figure for "high sugar intake" conflates a subgroup-specific finding with the broader scientific picture, and all results reflect associations, not proven causation.