The Cobweb Duster does attach firmly to a pole without wobbling. It will be screwed on up to about an inch.
Per manufacturer, the Cobweb Duster will fit on most all telescopic poles. In some case a little adjusting will need to be done and that may require cutting some length.
The only difference between the two Cobweb Dusters is the color. They will work the same way and remove spider webs from intended areas.
We apologize but we do not carry the Quickie Cob Web Duster Pole so we cannot say for certain. The cobweb dusters we carry are a very versatile tool but to make sure it will fit the pole you are referring to you may want to contact the manufacturer of the pole you have purchased or plan to purchase.