Statins are regularly given to people with high cholesterol. I would bet that most older people take or qualify to take a statin. If it happens with statins, therefore, it's not out of the realm to think that most people will eventually be prescribed GLP-1 to reduce weight which will improve overall health. It makes sense.
Statins are a good comparison because most end their use after one or two years because of the side effects.
Statins have gone through several prescribing guideline revisions in the last 10-20 years. Many people were incorrectly prescribed them and some have suffered for it.
Likewise, there can be serious complications when taking GLP-1 agonists and the like. Since they need to be taken in perpetuity (many gain all weight lost upon stopping use) they should be reserved for only people who have exhausted all other opportunities.
Most people over 65 should not be on statins. Most people should not be taking GPL-1 agonists.