Edit: Just to be clear, I'm not trying to disprove the study. I simply think their introduction is needlessly hyperbolic.
"Alcohol consumption is a well-established risk factor for a range of cancers, accounting for approximately 4% of new cancer cases annually [1, 2]."
The first citation is pay-walled, so I can't confirm, but the abstract states "The net effect of alcohol consumption on health is detrimental, with an estimated 3.8% of all global deaths and 4.6% of global disability-adjusted life-years attributable to alcohol." It says nothing about cancer specifically, but this could just be a vague abstract. Perhaps the data holds up, but a very large fraction of that 3.8% and 4.6% would have to be due to cancer. I'm skeptical.
The second citation however is blatantly misrepresented. It appears to be where the 4% number comes from, but it is UK specific (and almost certainly influenced by UK-specific drinking habits). The authors by contrast present it in a general context. Likewise it's worth noting that the source puts quitting smoking, keeping a healthy weight, and eating more fruits/vegetables as more important in preventing cancer than reducing alcohol consumption. And even at UK levels it's apparently only marginally more important than reducing sun exposure (also a UK-specific result).
They go on to effectively support the statement "alcohol increases cancer risk" in detail and I guess I can't blame them for wanting to grab the reader's attention, but scientific spin doctoring and lack of hard numbers irks me regardless of context.
As for alcohol companies telling their customers as little as legally required about the negative effects of alcohol, I'm glad they put some numbers on the issue but I think we can file that in the "no shit" folder. The policy makers/lesson planners/etc they appear to aim the study at are almost certainly well aware of the concept of conflict-of-interest, and if they aren't then I doubt they're literate enough to be swayed by this study.