The big difference in the Dowsar dodger compared to the BWY dodger is not the width, but the length front to back. When both are zipped up completely they both give you full protection. When you have it open and are relying on the dodger alone for protection the Dowsar design is far better. The BWY model stops right at the back edge of the companionway. The Dowsar version extends 18" past the back edge of the companionway. This creates two totally protected seats at the front of the cockpit.
I've sat up there sailing through spray while the autopilot drives and have been completely dry. My wife loves it because it is completely out of the wind.
For the price difference you are getting a lot more:
Stainless steel tubing verses aluminum.
Stainless steel fittings verses plastic.
Fully self supporting, no tension straps are used to keep any component of the enclosure up, the dodger and bimini are completely free standing.
Opening screened windows on both sides and the rear.
The side panels open like doors for completely unobstructed access in and out.
Headroom at the helm.
Grab loops on the dodger.
Access openings to rear cleats.
Inside storage pockets.
The Dowsar version does present higher windage, but I feel it is worth it. The full enclosure has added another room to our boat, and I would hate to walk around bent over every time I wanted to stand up in it.
Rigging for trailering is not an issue for us. With our new arch I have raised the mast carrier up so it clears the folded back bimini. We never remove the dodger or bimini bows. Once the canvas is zipped off the dodger bows they simply fold forward on the deck by releasing the quick pin in the stand up leg that came with the enclosure. The connector panel get flipped back on top of the bimini and the stretcher bar that tensions it is released, again with the supplied quick pin, and the unit folds back and remains standing on it's aft support legs. A boot zips over this and we are ready to go. We only remove the side panel canvas and the dodger canvas. All these zip off in a minute or two and get stored below.

Note the unique stretcher bar above my wife's head.
This keeps the bimini stretched tight.

The connector and bimini canvas is left attached, folded back in the boot for trailering.