Is it? GLPs cost literally pennies to manufacture in bulk. The government could easily justify a trillion to just buy the rights and give it away for free and still come out ahead on healthcare cost savings.
Everything your suggesting sounds like a lot of work by comparison.
And Obama’s healthier lunches received pushback because they had some stupid requirements, like reducing salt intake, and poor implementation: maybe not Obama’s fault, but should’ve been addressed, IME students were forced to take a fruit or vegetable they would just throw away, and sometimes the “fruit” were these gross bananas that were simultaneously green and brown/mushy. They also received pushback from kids themselves and their parents.
The government is also heavily subsidizing corn, which made corn syrup the cheapest sweetener.