A lot of good advice above and everyone has a different opinion that they gain from their experiences. I suggest that you use what is required for your needs. I've been building equipment trailers on and off since 1975 and I have yet to put a WDH or sway control on any of them. These can run from single axle to triple axle and also includes tandem duals with slipper springs. A lot really depends on the tow vehicle and if it is heavy enough for the load that it is pulling. It also depends a lot on the quality of the trailer. A light tow vehicle with a heavy trailer isn't a good combination, which make the WDH and SC more important. As far as the trailer length goes, I would much rather pull a trailer that is 20'+ from the center of the axles to the coupler than one that is 8'. The shorter coupled trailers can get real squirrely. The shorter trailers really need to be well built because imperfections in the alignment of the frame and axle(s) can affect the handling much more so.
The quality of the trailer and the proper tongue loading is also very important.
Equipment trailers are different in a couple of important ways. Usually, they are pulled with a heavy vehicles and they are also not shaped like a big box that catches the wind. Some folks think that equipment trailers also have a lower center of gravity, but that isn't always the case, expecially on the tandem duals with a backhoe on top of the deck which is above the tires. When was the last time you saw a large backhoe trailer (24,000 GVW+) being pulled by a dump truck with a WDH and SC?
I pull my RV trailers with a Ford F-350 and when I'm pulling my 34' Avion, I use the WDH, but I don't use the SC. The trailer has it, and it has been a pain so I only used it one time. Besides, the trailer with my TV absolutely doesn't need it. This is my experience from pulling it across the western US from southern AZ to Canada over a dozen times. Someone pulling it with a different vehicle may have a different experience. Someone pulling a 34' "box" trailer with a F-350 may need sway control. When pulling my 19.5' RV trailer which weighs over 6,000# I don't use the WDH or SC. It works for me, but it may not work for other folks with different combinations. I'm glad my smaller trailer doesn't require the WDH because I would hate to have to disconnect it every time I take it off the paved road. The WDH can put tremendous strain on your equipment when it is over articulated.
As stated above, you need to find out what works for your rig. Some folks have had issues with short trailers like the small pop up trailers getting squirrely. They put SC on it and it seems fine. I would be very careful with a setup like that because the issue with the trailer not towing properly hasn't been resolved, it has just been masked.
Happy camping to everyone.