From your other thread, the clamp is a little flimsy over all. The clamping mechanism isn't the best and the nylon wall bracket wouldn't be my first choice for what needs to be a pretty solid mount. A stubborn bottom bracket would test the limits of that plastic mount's strength. The mounting screws also look to be #8 wood screws and are probably mounted with hollow wall anchors. The Park wall mount uses 1/4" lag screws and, even with those, I managed to pull mine out of the wall. I was using 1" I'm using 2" long ones now.

The reason the Park mount is more expensive is because it is built better and will last a whole lot longer. I've seen old Park clamps that are 50 years old and going strong. My own floor stand is nearly 40 years old and is going strong.