This is certainly not correct. One does not need to eat organic foods to be healthy. I'll add that not everyone has in season fruits around. I live in Norway. Do you know what is in season during January in Norway?
Nothing. Absolutely nothing. Doubly so if you aren't eating animal products.
I'll add that avoiding all animal products has its own perils, namely the sort that results in vitamin deficiencies. And while a diet filled with whole grains and mostly plant-based foods is considered healthy, we simply don't know enough about nutrition to have one way or another. Or even to get vitamin doses right. I say all this while eating mostly vegetarian myself. I eat fish about once a week. I don't like it so much, but it is healthy.
Raw fruit is fine, veggies not really. Many contain substances that should deter animals from eating them. The digestibility of veggies usually increases when they are cooked.
The is good evidence to suggest that human ancestors started to use fire to cook meat and/or starchy vegetables more than million of years ago. It is enough for evolutionary adaptation.
There are even suggestions that it was cooking by opening untapped sources of calories that allowed for a bigger brain to evolve.
Check out the Daily Dozen. It does require a vitamin B12 supplement. If you take a B complex it will include niacin as well which will help with cholesterol.
Nice, that sounds amazing to take pills instead eat natural food. B12 synthetic, or Cyanocobalamin, is the most dangerous thing you can eat. You can become inmune to B12, and increase your deficiency and, die faster, basically. Check papers about this. The best higher quality methylcobalamin is only obtained from nature.