With a ground breaking sharp lens like this one it surprises me that Canon have not offered at least a 1.4X TC precisely tuned to the DO II optics e.g. as Nikon has done with its special 1.25XTC for its latest 800/5.6.
Yes of course it would be expensive but this lens I am sure has the potential of giving a very sharp 560/5.6 for perhaps 25% extra price.