No but being processed at a factory means that it can be treated in a way that makes non-processed food or home-processed superior. By definition, processed food bought from the supermarket is not fresh and has already lost nutrition and it will stay in a supermarket for weeks. No matter how many preservatives you add it's old food. Processing often increases the surface area which makes it easier for bacteria to spread and the food to oxidize. Meanwhile the most significant "processing" you do at home happens a few hours or minutes before eating. Nobody is arguing that left overs are superior to eating food on the same day it's cooked.
The heuristic that factory processed food is worse still holds. In theory you could make healthy processed food but there is no economic incentive for that so it is the exception, not the rule.
