Explanation
The statement contains a biological truth but leaves out essential context. Cancer cells use glucose for energy, as healthy cells do. That does not establish that eating sugar directly makes a tumour grow faster.
The National Cancer Institute distinguishes cancer cells' glucose consumption from evidence about dietary sugar and cancer progression. Cancer Research UK likewise explains that cancer cells use several nutrients and that removing sugar from the diet does not selectively deprive them of fuel.
Diet and cancer still have important connections. High-sugar diets can contribute to excess weight, and obesity increases the risk of several cancers. This indirect relationship is different from the idea that sugar uniquely feeds cancer; the distinction does not establish that sugar intake is irrelevant to health.
Key takeaway
Cancer cells use glucose, but that fact alone does not show that dietary sugar directly worsens cancer.