Foods like pre chopped broccoli are still a problem. Just not as big of a problem.
The fresher and less processed the food the better off you are. There are things we do to food that are okay and things we do that aren't. For shipping fruits and vegetables ethylene is controlled to time the ripening of the fruit. This is perfectly safe. They are also sprayed with fungicides, this is less safe.
There is also the problem of centralized food production being a national security/food security issue. More decentralized food production would reduce this issue, and increase access to fresher, less processed foods.
Even the way mass produced food is grown is worry some. Something like 60% of the land food is grown on is completely denuded and relies on artificial fertilizers for 100% of its growth. This results in less nutrious food.
Decentralized food production leads to better land management. Which will fight climate change. There is also a massive water crisis brewing that is the result of water tables not being properly recharged. This can only be solved by wide scale land management, and a lot of the methods revolve around growing food at the same time.
One more thing, fast. Food that is eaten with in hours of picking results in better gut health. There are a load of benefits to that.