A lot of different ways how to use a bucket system thats for sure, I've been around/using them for probably 25 years, big vegetable grows where there was lots of testing , science, studies being done etc, and from that ,we developed a bucket system that worked for us, Here is my opinions on it which at some point were all put to theory and tested as best growing practices for this system .
No need to use anything bigger them a 5 gallon bucked because you can't out grow it, we tried , we grow plants so big it was silly i'll leave it at that, don't flood your buckets, get the water out and inch or 2 in the bottom is all you need, I could write a book why,but I'm not right now , the ideal setup is to have to top feed lines, keep them off the stem, and a nice soft water flow down through the roots, a good size air stone in the bucket, always putting fresh air in, easier for your roots to use then trying to get oxygen gas out of water,it will also mist a bit but most importantly its the humidity you can create. this alone will out grow a flooded bucket, if you want to go to the next step add a couple very fine misters as close to a fog as you can get, the key to whole thing is proper environment, the soft trickle of water over the roots, the very fine mist, fresh oxygen and proper humidity in the bucket, its like adding steroids,
weekly rez changes, it keeps the solution balanced, prevents build ups of ph up/down etc in the solution, the plants love a drink of fresh water every week, it gives them a chance to flush/ expel any old stuff or use it up, get a drink of fresh water and them fresh nutrients to follow, top ups are fine but no longer then 7 days, example a 100 gallon rez 12 - 5 gallon bucket system, we top once maybe twice during the week, fresh water day 6 or 7 for at least 12 hours change with fresh nutrients. These 12 plants will take 25 to 30 gallons every night once there in flowering. on a 4 or 6 bucket system we don't top up just rez change every 6 or 7 days. we done real world testing side by side rooms and the one with weekly rez changes wins every time.
bucket system are easy to run and many variations of it, it really just depends on your knowledge, how much time and work you want to put into it, for what you want out of it. the key with any system is feed, lighting, temperatures and humidity. me personally I'd put a bucket system up against anyone with any other system any day of the week.