Ok let me chime in. I actually had the very same front brake pulse and shudder when I would apply the front brake lever. The faster the road speed when brake was applied the front end would vibrate harshly like a warped disk, you could feel it through the brake lever s well. I then cleaned out all the disk buttons and spun them whilst flushing with brakleen to get rid of the dust and grit that had built up over the years which was causing the disk to run out and wabble, this action corrected about 90% of the problem. I then threw away the old brake pads that were about half worn and deglazed the disk with 600 wet and dry sand paper fitted new pads and went for a ride to bed in the pads and see if the fault was still apparent. The shudder and vibration was totally gone. The issue is the buttons when full of grit and dust they wont allow the disk to float thus causing the run out or wabble of the disk which in turn causes irregular glazing across the surface of the disk. Correcting the run out buy cleaning the buttons is only one part of the fix, you need to deglaze the both disks and the entire brake swept surface area on both faces. It worked for me 40,000km on still no problems.
By the way the buttons should be firm and you should never be able to rotate them with your fingers, but you should be able to push the disk with the the palm of your hand to feel some movement under tension when pushing the disk sideways. The disk is meant to float laterally not radially.