The increased thyroid cancer risks of GLP1 meds, including Mounjaro, were found only is rats so far and were dose-dependant and duration dependant. Obesity increases the risk of almost every single cancer, including thyroid cancer, for as long as you're obese. My BMI has been 41-42 for the last 10 years, so my increased risk is currently high. I've tried literally everything to lose weight, but nothing has helped until taking MJ. I'm 56, so weight loss is only going to get harder for me.
My attitude is therefore that if I work hard to maximise my weight loss so that I take (dose dependant and duration dependant) MJ for as short a time as possible and stay on as low a dose as possible, then I'm doing all I can to minimise the risks/side effects of the drug.
I also hope that if I work hard, whilst on MJ, to develop good eating and exercise habits, then I'll reduce my risk of regaining the weight in the future and will hopefully avoid further ongoing obesity-related increased cancer risks.
Who knows what the future brings, but all we can do is make choices based on the information we currently have available.