My two cents worth here...........
Other than moving the rear wheel slightly forward you have made some major changes that need to be explored further.
First of all you went from an M59 to a 403, and to top it off you went to a tubliss system from your 4mm tubes.
So #1 how much air pressure are you running in your front 403? #2 What rear tire are you running? #3 What type of terrain are you riding in?
Is it possible that you were running really low air pressure and the tire was rolling under? I just switched to the 403/404 combo and there was huge difference in feel from the old XCMH pirrelli's I was running. I'm still running 4mm tubes but with 15 psi in them for the desert. What I found was that compared to the pirrelli's the 403 front was VERY compliant, and it had really good traction in sand and on hard pack, way better than the pirrelli's.
What Steve said about the effect of less unsprung weight is true, your suspension, in theory would be more compliant, as with less mass the wheel will move more freely. The only place I part with Steve's advice is that I would put in some rebound first, as that usually helps front end bite. But his advice is sound, try it, keep notes and see what happens.