As far as I know there isn't an adaptor for the HeadBlade that will fit a Mach 3 cartridge.
The adaptor you linked works with Sesnor Excel type blades.
You can't use the Mach 3 blades with the Headblade. The black adapter is for Sensor blades only (Sensor, Sensor Excel and Sensor 3), or any Sensor compatible blades.
I use the Sensor blades all the time, best results. I have tried all three and I get the best results, or at least equal, with the cheapest version, the Gillette Sensor
I use the Schick Ultra plus with great satisfaction on the HB. My yellow adaptor broke a few days ago. It was inevitable. Now I am forced to try the Gillette contour plus blades with the black adaptor.
Looking forward to my next purchase. I am lost without my Headblade!