Sorry about the "Edit" on the above post. My mistake. I hit the wrong button in trying to make this reply.
The Equal-i-zer hitch head will not work with the Pullrite drawbar because then you would have two pivot points. One would be where the Pullrite attaches near the truck axle and pivots there (its normal pivot point). The other would be the ball/coupler pivot points. The WD bars on the Pullrite are fixed in position and do not swing left and right as they do on a normal hitch. The sockets that the bars fit in are part of the hitch head and they hold the bars rigid. This allows the trailer to remain lined up with the drawbar which then pivots at the truck axle. Here is a picture that I found on the internet of the Pullrite hitch head. Notice the sockets that the bars slide into are rigid - unlike the bar sockets of the Equal-i-zer. This means that the Equal-i-zer will not work with the drawbar of the Pullrite.
Barney

Image obtained from
this website.