Well, first off, I don't usually assume that the media gets the facts correct.
Then, Ozempic and its ilk costs somewhere around $800-$1000 a month, and it's not reimbursed by insurance for weight loss, so alcohol temperance would likely be the same problem. How many problem drinkers you know with $1000 to blow on a drug every month that may or may not help them, "drink less?" Plus - the side effects are pretty significant and not all alcoholics have extra weight to spare - they often already suffer from malnutrition.
Then, there are already other effective drugs. Cheaper drugs. The bottom line is it really takes zero drugs to quit drinking. "Drinking less alcohol," isn't really the end game.
The GLP-1 agonists are really interesting, though. Many people who claim to have, "food addiction," likely share some of the same genetic traits as alcoholics. This drug changes their cravings. It's really hopeful for obesity treatment and maybe other addictions, but if it causes weight loss by loss of desire for eating that would be a problem for many drinkers and drug users.