Everybody has their own way of doing things, and when it comes to food, everyone REALLY does it different. So, in the end, whatever you are accustom to at home, you will probably do when camping also. However, as stated above in so many words, space in an RV is limited, so if you can find appliances or devices that serve multiple purposes, its really to your advantage.
We do (well, mostly me .... I'm the husband) ... does most of the cooking when camping. My wife does most of the cooking at home. But we do have a good compromise in the camper.
First and foremost, it took years (30 years to be exact), to reach the point we're at right now.
We have learned we need items for 4 types of food preparation:
1. over an open fire,
2. on the gas stove and oven in the camper,
3. the microwave,
4. and an electric skillet and flat electric griddle.
I very seldom, if ever cook over an open fire any more. After years of cleaning black soot off of pots and pans, you reach a point you're sick and tired of that. That led to the Coleman gas stoves so we could cook outside the camper. It get REALLY hot inside cooking in the summer!
After a while, I got tired of cleaning grease from all the parts on the Coleman stoves, and we slowly switched to an electric skillet (outside), which also led to an electric flat griddle (which I do about 99% of all our food preparation on now, with the electric skillet). Clean up is just MUCH easier, the heat is controllable, and more consistent than a fire, or a gas flame blowing in the wind.
In your food preparation, you need to consider all 4 types of cooking applications and have equipment for each type. We also carry hot dog and marshmallow sticks (still), and occasionally use them over an open fire too. This is also considered part of the cooking paraphernalia. And don't forget about the dutch over style cooking.
So... first and foremost, identify the type of cooking your doing, then determine what you need to do it. A Teflon coated frying pay with a plastic handle will NOT work over an open fire, and a dutch oven will probably not work very well on an electric skillet!
We have found, simplicity in food preparation is the best. We have a hand held, old school, square aluminum thing that has the 4 sides, and each side shreds or slices (whatever) a slightly different way. More we don't need.
We have one pot with a lid with holes. It's perfect for things like spaghetti, to drain the water, or to dump grease out of so the meat won't fall out. We have learned we can bake cookies, cup cakes, cakes, pizza, and all sorts of stuff in an electric skillet with a lid, but we do have an oven.
The thing is, less really is better! So, identify your style of food preparation and bring the essential tools to do that. In the end, only YOU can make those decisions. If you need all the processors, then yes, take them. YOu won't be happy if you don't. But if you REALLY don't need them, leave them at home.
Part of the fun of camping is learning how to improvise, to make something happening with something you don't have. Food preparation is a perfect example of this! It's fun, it's challenging, and it keep camping interesting.