Ozempic itself has been in use for almost a decade now (originally approved for type 2 diabetes in 2017). Many millions of people have taken it, without much in the way of serious complication.
Exenatide had been in use since about 2005, and by 2019 had more than a million people on it. Some of those patients have literally been on it for 20 years. It does have a worse side-effect profile than Ozempic (or the more modern GLP-1's like zepbound), but even then the benefits outweigh the risk for those diabetics.
Today it is hard to argue the benefits of modern GLP-1s don't outweigh their risks. They've been extensively tested, the class of drug has been around for decades, and they are used by many millions of people.
I personally lost 120 pounds on Zepbound in a little less than a year. It's been life changing, and anyone who thinks I might be less healthy now is very clearly wrong. Literally every aspect of my life has been greatly improved.
A quick Wikipedia search shows Exenatide was FDA approved in 2005 for diabetes.